[{"data":1,"prerenderedAt":3323},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren":546,"formula-related-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren":3316},[4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545],{"category":5},"algebra",{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":65},"arithmetic",{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":101},"calculus",{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":172},"differential-equations",{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":187},"discrete-math",{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":208},"functions",{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":247},"geometry",{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":312},"linear-algebra",{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":368},"multivariable-calculus",{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":391},"numerics",{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":412},"sequences-series",{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":441},"stochastics",{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":518},"trigonometry",{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"id":547,"title":548,"aliases":549,"body":554,"category":5,"checks":3273,"conditions":3284,"conditionsHtml":3285,"deprecated":3286,"description":3266,"extension":3287,"figure":3286,"figureCaption":3286,"figureHtml":3286,"formulaId":3288,"latex":3289,"latexHtml":3290,"level":3291,"meta":3292,"navigation":3293,"path":3294,"redirectFrom":3295,"related":3296,"seo":3299,"stem":3300,"subject":581,"summary":3301,"tags":3302,"variables":3307,"__hash__":3315},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren.md","Potenzen mit gleicher Basis dividieren",[550,551,552,553],"Potenzgesetz Division","Exponenten subtrahieren","a hoch m durch a hoch n","Potenzregeln",{"type":555,"value":556,"toc":3265},"minimark",[557,562,707,710,1288,1292,1295,1690,1694,1926,2261,2265],[558,559,561],"h2",{"id":560},"erklärung","Erklärung",[563,564,565,566,570,571,616,617,645,646,706],"p",{},"Teilt man zwei Potenzen mit ",[567,568,569],"strong",{},"derselben Basis",", bleibt die Basis erhalten und man subtrahiert den Exponenten des Nenners vom Exponenten des Zählers. Die Basis darf nicht ",[572,573,576,598],"span",{"className":574},[575],"katex",[572,577,580],{"className":578},[579],"katex-mathml",[581,582,584],"math",{"xmlns":583},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[585,586,587,594],"semantics",{},[588,589,590],"mrow",{},[591,592,593],"mn",{},"0",[595,596,593],"annotation",{"encoding":597},"application\u002Fx-tex",[572,599,603],{"className":600,"ariaHidden":602},[601],"katex-html","true",[572,604,607,612],{"className":605},[606],"base",[572,608],{"className":609,"style":611},[610],"strut","height:0.6444em;",[572,613,593],{"className":614},[615],"mord"," sein, weil sonst durch ",[572,618,620,633],{"className":619},[575],[572,621,623],{"className":622},[579],[581,624,625],{"xmlns":583},[585,626,627,631],{},[588,628,629],{},[591,630,593],{},[595,632,593],{"encoding":597},[572,634,636],{"className":635,"ariaHidden":602},[601],[572,637,639,642],{"className":638},[606],[572,640],{"className":641,"style":611},[610],[572,643,593],{"className":644},[615]," geteilt würde. Für gebrochene oder reelle Exponenten gilt die Regel bei ",[572,647,649,671],{"className":648},[575],[572,650,652],{"className":651},[579],[581,653,654],{"xmlns":583},[585,655,656,668],{},[588,657,658,662,666],{},[659,660,661],"mi",{},"a",[663,664,665],"mo",{},">",[591,667,593],{},[595,669,670],{"encoding":597},"a > 0",[572,672,674,697],{"className":673,"ariaHidden":602},[601],[572,675,677,681,685,690,694],{"className":676},[606],[572,678],{"className":679,"style":680},[610],"height:0.5782em;vertical-align:-0.0391em;",[572,682,661],{"className":683},[615,684],"mathnormal",[572,686],{"className":687,"style":689},[688],"mspace","margin-right:0.2778em;",[572,691,665],{"className":692},[693],"mrel",[572,695],{"className":696,"style":689},[688],[572,698,700,703],{"className":699},[606],[572,701],{"className":702,"style":611},[610],[572,704,593],{"className":705},[615],".",[563,708,709],{},"Aus der Regel folgen zwei wichtige Festlegungen:",[711,712,713,1041],"ul",{},[714,715,716,771,772],"li",{},[572,717,719,740],{"className":718},[575],[572,720,722],{"className":721},[579],[581,723,724],{"xmlns":583},[585,725,726,737],{},[588,727,728,731,734],{},[659,729,730],{},"m",[663,732,733],{},"=",[659,735,736],{},"n",[595,738,739],{"encoding":597},"m = n",[572,741,743,762],{"className":742,"ariaHidden":602},[601],[572,744,746,750,753,756,759],{"className":745},[606],[572,747],{"className":748,"style":749},[610],"height:0.4306em;",[572,751,730],{"className":752},[615,684],[572,754],{"className":755,"style":689},[688],[572,757,733],{"className":758},[693],[572,760],{"className":761,"style":689},[688],[572,763,765,768],{"className":764},[606],[572,766],{"className":767,"style":749},[610],[572,769,736],{"className":770},[615,684],": ",[572,773,775,816],{"className":774},[575],[572,776,778],{"className":777},[579],[581,779,780],{"xmlns":583},[585,781,782,813],{},[588,783,784,800,802,808,810],{},[785,786,787,794],"mfrac",{},[788,789,790,792],"msup",{},[659,791,661],{},[659,793,736],{},[788,795,796,798],{},[659,797,661],{},[659,799,736],{},[663,801,733],{},[788,803,804,806],{},[659,805,661],{},[591,807,593],{},[663,809,733],{},[591,811,812],{},"1",[595,814,815],{"encoding":597},"\\frac{a^n}{a^n} = a^0 = 1",[572,817,819,985,1032],{"className":818,"ariaHidden":602},[601],[572,820,822,826,976,979,982],{"className":821},[606],[572,823],{"className":824,"style":825},[610],"height:1.256em;vertical-align:-0.345em;",[572,827,829,834,972],{"className":828},[615],[572,830],{"className":831},[832,833],"mopen","nulldelimiter",[572,835,837],{"className":836},[785],[572,838,842,963],{"className":839},[840,841],"vlist-t","vlist-t2",[572,843,846,958],{"className":844},[845],"vlist-r",[572,847,851,904,915],{"className":848,"style":850},[849],"vlist","height:0.911em;",[572,852,854,859],{"style":853},"top:-2.655em;",[572,855],{"className":856,"style":858},[857],"pstrut","height:3em;",[572,860,866],{"className":861},[862,863,864,865],"sizing","reset-size6","size3","mtight",[572,867,869],{"className":868},[615,865],[572,870,872,875],{"className":871},[615,865],[572,873,661],{"className":874},[615,684,865],[572,876,879],{"className":877},[878],"msupsub",[572,880,882],{"className":881},[840],[572,883,885],{"className":884},[845],[572,886,889],{"className":887,"style":888},[849],"height:0.5935em;",[572,890,892,896],{"style":891},"top:-2.786em;margin-right:0.0714em;",[572,893],{"className":894,"style":895},[857],"height:2.5em;",[572,897,901],{"className":898},[862,899,900,865],"reset-size3","size1",[572,902,736],{"className":903},[615,684,865],[572,905,907,910],{"style":906},"top:-3.23em;",[572,908],{"className":909,"style":858},[857],[572,911],{"className":912,"style":914},[913],"frac-line","border-bottom-width:0.04em;",[572,916,918,921],{"style":917},"top:-3.394em;",[572,919],{"className":920,"style":858},[857],[572,922,924],{"className":923},[862,863,864,865],[572,925,927],{"className":926},[615,865],[572,928,930,933],{"className":929},[615,865],[572,931,661],{"className":932},[615,684,865],[572,934,936],{"className":935},[878],[572,937,939],{"className":938},[840],[572,940,942],{"className":941},[845],[572,943,946],{"className":944,"style":945},[849],"height:0.7385em;",[572,947,949,952],{"style":948},"top:-2.931em;margin-right:0.0714em;",[572,950],{"className":951,"style":895},[857],[572,953,955],{"className":954},[862,899,900,865],[572,956,736],{"className":957},[615,684,865],[572,959,962],{"className":960},[961],"vlist-s","​",[572,964,966],{"className":965},[845],[572,967,970],{"className":968,"style":969},[849],"height:0.345em;",[572,971],{},[572,973],{"className":974},[975,833],"mclose",[572,977],{"className":978,"style":689},[688],[572,980,733],{"className":981},[693],[572,983],{"className":984,"style":689},[688],[572,986,988,992,1023,1026,1029],{"className":987},[606],[572,989],{"className":990,"style":991},[610],"height:0.8141em;",[572,993,995,998],{"className":994},[615],[572,996,661],{"className":997},[615,684],[572,999,1001],{"className":1000},[878],[572,1002,1004],{"className":1003},[840],[572,1005,1007],{"className":1006},[845],[572,1008,1010],{"className":1009,"style":991},[849],[572,1011,1013,1017],{"style":1012},"top:-3.063em;margin-right:0.05em;",[572,1014],{"className":1015,"style":1016},[857],"height:2.7em;",[572,1018,1020],{"className":1019},[862,863,864,865],[572,1021,593],{"className":1022},[615,865],[572,1024],{"className":1025,"style":689},[688],[572,1027,733],{"className":1028},[693],[572,1030],{"className":1031,"style":689},[688],[572,1033,1035,1038],{"className":1034},[606],[572,1036],{"className":1037,"style":611},[610],[572,1039,812],{"className":1040},[615],[714,1042,1043,771,1094],{},[572,1044,1046,1064],{"className":1045},[575],[572,1047,1049],{"className":1048},[579],[581,1050,1051],{"xmlns":583},[585,1052,1053,1061],{},[588,1054,1055,1057,1059],{},[659,1056,730],{},[663,1058,733],{},[591,1060,593],{},[595,1062,1063],{"encoding":597},"m = 0",[572,1065,1067,1085],{"className":1066,"ariaHidden":602},[601],[572,1068,1070,1073,1076,1079,1082],{"className":1069},[606],[572,1071],{"className":1072,"style":749},[610],[572,1074,730],{"className":1075},[615,684],[572,1077],{"className":1078,"style":689},[688],[572,1080,733],{"className":1081},[693],[572,1083],{"className":1084,"style":689},[688],[572,1086,1088,1091],{"className":1087},[606],[572,1089],{"className":1090,"style":611},[610],[572,1092,593],{"className":1093},[615],[572,1095,1097,1132],{"className":1096},[575],[572,1098,1100],{"className":1099},[579],[581,1101,1102],{"xmlns":583},[585,1103,1104,1129],{},[588,1105,1106,1116,1118],{},[785,1107,1108,1110],{},[591,1109,812],{},[788,1111,1112,1114],{},[659,1113,661],{},[659,1115,736],{},[663,1117,733],{},[788,1119,1120,1122],{},[659,1121,661],{},[588,1123,1124,1127],{},[663,1125,1126],{},"−",[659,1128,736],{},[595,1130,1131],{"encoding":597},"\\frac{1}{a^n} = a^{-n}",[572,1133,1135,1246],{"className":1134,"ariaHidden":602},[601],[572,1136,1138,1142,1237,1240,1243],{"className":1137},[606],[572,1139],{"className":1140,"style":1141},[610],"height:1.1901em;vertical-align:-0.345em;",[572,1143,1145,1148,1234],{"className":1144},[615],[572,1146],{"className":1147},[832,833],[572,1149,1151],{"className":1150},[785],[572,1152,1154,1226],{"className":1153},[840,841],[572,1155,1157,1223],{"className":1156},[845],[572,1158,1161,1201,1209],{"className":1159,"style":1160},[849],"height:0.8451em;",[572,1162,1163,1166],{"style":853},[572,1164],{"className":1165,"style":858},[857],[572,1167,1169],{"className":1168},[862,863,864,865],[572,1170,1172],{"className":1171},[615,865],[572,1173,1175,1178],{"className":1174},[615,865],[572,1176,661],{"className":1177},[615,684,865],[572,1179,1181],{"className":1180},[878],[572,1182,1184],{"className":1183},[840],[572,1185,1187],{"className":1186},[845],[572,1188,1190],{"className":1189,"style":888},[849],[572,1191,1192,1195],{"style":891},[572,1193],{"className":1194,"style":895},[857],[572,1196,1198],{"className":1197},[862,899,900,865],[572,1199,736],{"className":1200},[615,684,865],[572,1202,1203,1206],{"style":906},[572,1204],{"className":1205,"style":858},[857],[572,1207],{"className":1208,"style":914},[913],[572,1210,1211,1214],{"style":917},[572,1212],{"className":1213,"style":858},[857],[572,1215,1217],{"className":1216},[862,863,864,865],[572,1218,1220],{"className":1219},[615,865],[572,1221,812],{"className":1222},[615,865],[572,1224,962],{"className":1225},[961],[572,1227,1229],{"className":1228},[845],[572,1230,1232],{"className":1231,"style":969},[849],[572,1233],{},[572,1235],{"className":1236},[975,833],[572,1238],{"className":1239,"style":689},[688],[572,1241,733],{"className":1242},[693],[572,1244],{"className":1245,"style":689},[688],[572,1247,1249,1253],{"className":1248},[606],[572,1250],{"className":1251,"style":1252},[610],"height:0.7713em;",[572,1254,1256,1259],{"className":1255},[615],[572,1257,661],{"className":1258},[615,684],[572,1260,1262],{"className":1261},[878],[572,1263,1265],{"className":1264},[840],[572,1266,1268],{"className":1267},[845],[572,1269,1271],{"className":1270,"style":1252},[849],[572,1272,1273,1276],{"style":1012},[572,1274],{"className":1275,"style":1016},[857],[572,1277,1279],{"className":1278},[862,863,864,865],[572,1280,1282,1285],{"className":1281},[615,865],[572,1283,1126],{"className":1284},[615,865],[572,1286,736],{"className":1287},[615,684,865],[558,1289,1291],{"id":1290},"herleitung","Herleitung",[563,1293,1294],{},"Für natürliche Exponenten kürzt man gemeinsame Faktoren:",[572,1296,1299],{"className":1297},[1298],"katex-display",[572,1300,1302,1373],{"className":1301},[575],[572,1303,1305],{"className":1304},[579],[581,1306,1308],{"xmlns":583,"display":1307},"block",[585,1309,1310,1370],{},[588,1311,1312,1328,1330,1361,1363],{},[785,1313,1314,1321],{},[788,1315,1316,1318],{},[659,1317,661],{},[591,1319,1320],{},"5",[788,1322,1323,1325],{},[659,1324,661],{},[591,1326,1327],{},"2",[663,1329,733],{},[785,1331,1332,1353],{},[588,1333,1334,1336,1339,1341,1343,1345,1347,1349,1351],{},[659,1335,661],{},[663,1337,1338],{},"⋅",[659,1340,661],{},[663,1342,1338],{},[659,1344,661],{},[663,1346,1338],{},[659,1348,661],{},[663,1350,1338],{},[659,1352,661],{},[588,1354,1355,1357,1359],{},[659,1356,661],{},[663,1358,1338],{},[659,1360,661],{},[663,1362,733],{},[788,1364,1365,1367],{},[659,1366,661],{},[591,1368,1369],{},"3",[595,1371,1372],{"encoding":597},"\\frac{a^5}{a^2} = \\frac{a \\cdot a \\cdot a \\cdot a \\cdot a}{a \\cdot a} = a^3",[572,1374,1376,1512,1653],{"className":1375,"ariaHidden":602},[601],[572,1377,1379,1383,1503,1506,1509],{"className":1378},[606],[572,1380],{"className":1381,"style":1382},[610],"height:2.1771em;vertical-align:-0.686em;",[572,1384,1386,1389,1500],{"className":1385},[615],[572,1387],{"className":1388},[832,833],[572,1390,1392],{"className":1391},[785],[572,1393,1395,1491],{"className":1394},[840,841],[572,1396,1398,1488],{"className":1397},[845],[572,1399,1402,1442,1450],{"className":1400,"style":1401},[849],"height:1.4911em;",[572,1403,1405,1408],{"style":1404},"top:-2.314em;",[572,1406],{"className":1407,"style":858},[857],[572,1409,1411],{"className":1410},[615],[572,1412,1414,1417],{"className":1413},[615],[572,1415,661],{"className":1416},[615,684],[572,1418,1420],{"className":1419},[878],[572,1421,1423],{"className":1422},[840],[572,1424,1426],{"className":1425},[845],[572,1427,1430],{"className":1428,"style":1429},[849],"height:0.7401em;",[572,1431,1433,1436],{"style":1432},"top:-2.989em;margin-right:0.05em;",[572,1434],{"className":1435,"style":1016},[857],[572,1437,1439],{"className":1438},[862,863,864,865],[572,1440,1327],{"className":1441},[615,865],[572,1443,1444,1447],{"style":906},[572,1445],{"className":1446,"style":858},[857],[572,1448],{"className":1449,"style":914},[913],[572,1451,1453,1456],{"style":1452},"top:-3.677em;",[572,1454],{"className":1455,"style":858},[857],[572,1457,1459],{"className":1458},[615],[572,1460,1462,1465],{"className":1461},[615],[572,1463,661],{"className":1464},[615,684],[572,1466,1468],{"className":1467},[878],[572,1469,1471],{"className":1470},[840],[572,1472,1474],{"className":1473},[845],[572,1475,1477],{"className":1476,"style":991},[849],[572,1478,1479,1482],{"style":1012},[572,1480],{"className":1481,"style":1016},[857],[572,1483,1485],{"className":1484},[862,863,864,865],[572,1486,1320],{"className":1487},[615,865],[572,1489,962],{"className":1490},[961],[572,1492,1494],{"className":1493},[845],[572,1495,1498],{"className":1496,"style":1497},[849],"height:0.686em;",[572,1499],{},[572,1501],{"className":1502},[975,833],[572,1504],{"className":1505,"style":689},[688],[572,1507,733],{"className":1508},[693],[572,1510],{"className":1511,"style":689},[688],[572,1513,1515,1519,1644,1647,1650],{"className":1514},[606],[572,1516],{"className":1517,"style":1518},[610],"height:1.8075em;vertical-align:-0.686em;",[572,1520,1522,1525,1641],{"className":1521},[615],[572,1523],{"className":1524},[832,833],[572,1526,1528],{"className":1527},[785],[572,1529,1531,1633],{"className":1530},[840,841],[572,1532,1534,1630],{"className":1533},[845],[572,1535,1538,1563,1571],{"className":1536,"style":1537},[849],"height:1.1215em;",[572,1539,1540,1543],{"style":1404},[572,1541],{"className":1542,"style":858},[857],[572,1544,1546,1549,1553,1557,1560],{"className":1545},[615],[572,1547,661],{"className":1548},[615,684],[572,1550],{"className":1551,"style":1552},[688],"margin-right:0.2222em;",[572,1554,1338],{"className":1555},[1556],"mbin",[572,1558],{"className":1559,"style":1552},[688],[572,1561,661],{"className":1562},[615,684],[572,1564,1565,1568],{"style":906},[572,1566],{"className":1567,"style":858},[857],[572,1569],{"className":1570,"style":914},[913],[572,1572,1573,1576],{"style":1452},[572,1574],{"className":1575,"style":858},[857],[572,1577,1579,1582,1585,1588,1591,1594,1597,1600,1603,1606,1609,1612,1615,1618,1621,1624,1627],{"className":1578},[615],[572,1580,661],{"className":1581},[615,684],[572,1583],{"className":1584,"style":1552},[688],[572,1586,1338],{"className":1587},[1556],[572,1589],{"className":1590,"style":1552},[688],[572,1592,661],{"className":1593},[615,684],[572,1595],{"className":1596,"style":1552},[688],[572,1598,1338],{"className":1599},[1556],[572,1601],{"className":1602,"style":1552},[688],[572,1604,661],{"className":1605},[615,684],[572,1607],{"className":1608,"style":1552},[688],[572,1610,1338],{"className":1611},[1556],[572,1613],{"className":1614,"style":1552},[688],[572,1616,661],{"className":1617},[615,684],[572,1619],{"className":1620,"style":1552},[688],[572,1622,1338],{"className":1623},[1556],[572,1625],{"className":1626,"style":1552},[688],[572,1628,661],{"className":1629},[615,684],[572,1631,962],{"className":1632},[961],[572,1634,1636],{"className":1635},[845],[572,1637,1639],{"className":1638,"style":1497},[849],[572,1640],{},[572,1642],{"className":1643},[975,833],[572,1645],{"className":1646,"style":689},[688],[572,1648,733],{"className":1649},[693],[572,1651],{"className":1652,"style":689},[688],[572,1654,1656,1660],{"className":1655},[606],[572,1657],{"className":1658,"style":1659},[610],"height:0.8641em;",[572,1661,1663,1666],{"className":1662},[615],[572,1664,661],{"className":1665},[615,684],[572,1667,1669],{"className":1668},[878],[572,1670,1672],{"className":1671},[840],[572,1673,1675],{"className":1674},[845],[572,1676,1678],{"className":1677,"style":1659},[849],[572,1679,1681,1684],{"style":1680},"top:-3.113em;margin-right:0.05em;",[572,1682],{"className":1683,"style":1016},[857],[572,1685,1687],{"className":1686},[862,863,864,865],[572,1688,1369],{"className":1689},[615,865],[558,1691,1693],{"id":1692},"beispiele","Beispiele",[572,1695,1697],{"className":1696},[1298],[572,1698,1700,1741],{"className":1699},[575],[572,1701,1703],{"className":1702},[579],[581,1704,1705],{"xmlns":583,"display":1307},[585,1706,1707,1738],{},[588,1708,1709,1725,1727,1733,1735],{},[785,1710,1711,1718],{},[788,1712,1713,1715],{},[591,1714,1320],{},[591,1716,1717],{},"6",[788,1719,1720,1722],{},[591,1721,1320],{},[591,1723,1724],{},"4",[663,1726,733],{},[788,1728,1729,1731],{},[591,1730,1320],{},[591,1732,1327],{},[663,1734,733],{},[591,1736,1737],{},"25",[595,1739,1740],{"encoding":597},"\\frac{5^6}{5^4} = 5^2 = 25",[572,1742,1744,1873,1917],{"className":1743,"ariaHidden":602},[601],[572,1745,1747,1750,1864,1867,1870],{"className":1746},[606],[572,1748],{"className":1749,"style":1382},[610],[572,1751,1753,1756,1861],{"className":1752},[615],[572,1754],{"className":1755},[832,833],[572,1757,1759],{"className":1758},[785],[572,1760,1762,1853],{"className":1761},[840,841],[572,1763,1765,1850],{"className":1764},[845],[572,1766,1768,1805,1813],{"className":1767,"style":1401},[849],[572,1769,1770,1773],{"style":1404},[572,1771],{"className":1772,"style":858},[857],[572,1774,1776],{"className":1775},[615],[572,1777,1779,1782],{"className":1778},[615],[572,1780,1320],{"className":1781},[615],[572,1783,1785],{"className":1784},[878],[572,1786,1788],{"className":1787},[840],[572,1789,1791],{"className":1790},[845],[572,1792,1794],{"className":1793,"style":1429},[849],[572,1795,1796,1799],{"style":1432},[572,1797],{"className":1798,"style":1016},[857],[572,1800,1802],{"className":1801},[862,863,864,865],[572,1803,1724],{"className":1804},[615,865],[572,1806,1807,1810],{"style":906},[572,1808],{"className":1809,"style":858},[857],[572,1811],{"className":1812,"style":914},[913],[572,1814,1815,1818],{"style":1452},[572,1816],{"className":1817,"style":858},[857],[572,1819,1821],{"className":1820},[615],[572,1822,1824,1827],{"className":1823},[615],[572,1825,1320],{"className":1826},[615],[572,1828,1830],{"className":1829},[878],[572,1831,1833],{"className":1832},[840],[572,1834,1836],{"className":1835},[845],[572,1837,1839],{"className":1838,"style":991},[849],[572,1840,1841,1844],{"style":1012},[572,1842],{"className":1843,"style":1016},[857],[572,1845,1847],{"className":1846},[862,863,864,865],[572,1848,1717],{"className":1849},[615,865],[572,1851,962],{"className":1852},[961],[572,1854,1856],{"className":1855},[845],[572,1857,1859],{"className":1858,"style":1497},[849],[572,1860],{},[572,1862],{"className":1863},[975,833],[572,1865],{"className":1866,"style":689},[688],[572,1868,733],{"className":1869},[693],[572,1871],{"className":1872,"style":689},[688],[572,1874,1876,1879,1908,1911,1914],{"className":1875},[606],[572,1877],{"className":1878,"style":1659},[610],[572,1880,1882,1885],{"className":1881},[615],[572,1883,1320],{"className":1884},[615],[572,1886,1888],{"className":1887},[878],[572,1889,1891],{"className":1890},[840],[572,1892,1894],{"className":1893},[845],[572,1895,1897],{"className":1896,"style":1659},[849],[572,1898,1899,1902],{"style":1680},[572,1900],{"className":1901,"style":1016},[857],[572,1903,1905],{"className":1904},[862,863,864,865],[572,1906,1327],{"className":1907},[615,865],[572,1909],{"className":1910,"style":689},[688],[572,1912,733],{"className":1913},[693],[572,1915],{"className":1916,"style":689},[688],[572,1918,1920,1923],{"className":1919},[606],[572,1921],{"className":1922,"style":611},[610],[572,1924,1737],{"className":1925},[615],[572,1927,1929],{"className":1928},[1298],[572,1930,1932,1983],{"className":1931},[575],[572,1933,1935],{"className":1934},[579],[581,1936,1937],{"xmlns":583,"display":1307},[585,1938,1939,1980],{},[588,1940,1941,1956,1958,1968,1970],{},[785,1942,1943,1950],{},[788,1944,1945,1948],{},[659,1946,1947],{},"x",[591,1949,1369],{},[788,1951,1952,1954],{},[659,1953,1947],{},[591,1955,1320],{},[663,1957,733],{},[788,1959,1960,1962],{},[659,1961,1947],{},[588,1963,1964,1966],{},[663,1965,1126],{},[591,1967,1327],{},[663,1969,733],{},[785,1971,1972,1974],{},[591,1973,812],{},[788,1975,1976,1978],{},[659,1977,1947],{},[591,1979,1327],{},[595,1981,1982],{"encoding":597},"\\frac{x^3}{x^5} = x^{-2} = \\frac{1}{x^2}",[572,1984,1986,2115,2165],{"className":1985,"ariaHidden":602},[601],[572,1987,1989,1992,2106,2109,2112],{"className":1988},[606],[572,1990],{"className":1991,"style":1382},[610],[572,1993,1995,1998,2103],{"className":1994},[615],[572,1996],{"className":1997},[832,833],[572,1999,2001],{"className":2000},[785],[572,2002,2004,2095],{"className":2003},[840,841],[572,2005,2007,2092],{"className":2006},[845],[572,2008,2010,2047,2055],{"className":2009,"style":1401},[849],[572,2011,2012,2015],{"style":1404},[572,2013],{"className":2014,"style":858},[857],[572,2016,2018],{"className":2017},[615],[572,2019,2021,2024],{"className":2020},[615],[572,2022,1947],{"className":2023},[615,684],[572,2025,2027],{"className":2026},[878],[572,2028,2030],{"className":2029},[840],[572,2031,2033],{"className":2032},[845],[572,2034,2036],{"className":2035,"style":1429},[849],[572,2037,2038,2041],{"style":1432},[572,2039],{"className":2040,"style":1016},[857],[572,2042,2044],{"className":2043},[862,863,864,865],[572,2045,1320],{"className":2046},[615,865],[572,2048,2049,2052],{"style":906},[572,2050],{"className":2051,"style":858},[857],[572,2053],{"className":2054,"style":914},[913],[572,2056,2057,2060],{"style":1452},[572,2058],{"className":2059,"style":858},[857],[572,2061,2063],{"className":2062},[615],[572,2064,2066,2069],{"className":2065},[615],[572,2067,1947],{"className":2068},[615,684],[572,2070,2072],{"className":2071},[878],[572,2073,2075],{"className":2074},[840],[572,2076,2078],{"className":2077},[845],[572,2079,2081],{"className":2080,"style":991},[849],[572,2082,2083,2086],{"style":1012},[572,2084],{"className":2085,"style":1016},[857],[572,2087,2089],{"className":2088},[862,863,864,865],[572,2090,1369],{"className":2091},[615,865],[572,2093,962],{"className":2094},[961],[572,2096,2098],{"className":2097},[845],[572,2099,2101],{"className":2100,"style":1497},[849],[572,2102],{},[572,2104],{"className":2105},[975,833],[572,2107],{"className":2108,"style":689},[688],[572,2110,733],{"className":2111},[693],[572,2113],{"className":2114,"style":689},[688],[572,2116,2118,2121,2156,2159,2162],{"className":2117},[606],[572,2119],{"className":2120,"style":1659},[610],[572,2122,2124,2127],{"className":2123},[615],[572,2125,1947],{"className":2126},[615,684],[572,2128,2130],{"className":2129},[878],[572,2131,2133],{"className":2132},[840],[572,2134,2136],{"className":2135},[845],[572,2137,2139],{"className":2138,"style":1659},[849],[572,2140,2141,2144],{"style":1680},[572,2142],{"className":2143,"style":1016},[857],[572,2145,2147],{"className":2146},[862,863,864,865],[572,2148,2150,2153],{"className":2149},[615,865],[572,2151,1126],{"className":2152},[615,865],[572,2154,1327],{"className":2155},[615,865],[572,2157],{"className":2158,"style":689},[688],[572,2160,733],{"className":2161},[693],[572,2163],{"className":2164,"style":689},[688],[572,2166,2168,2172],{"className":2167},[606],[572,2169],{"className":2170,"style":2171},[610],"height:2.0074em;vertical-align:-0.686em;",[572,2173,2175,2178,2258],{"className":2174},[615],[572,2176],{"className":2177},[832,833],[572,2179,2181],{"className":2180},[785],[572,2182,2184,2250],{"className":2183},[840,841],[572,2185,2187,2247],{"className":2186},[845],[572,2188,2191,2228,2236],{"className":2189,"style":2190},[849],"height:1.3214em;",[572,2192,2193,2196],{"style":1404},[572,2194],{"className":2195,"style":858},[857],[572,2197,2199],{"className":2198},[615],[572,2200,2202,2205],{"className":2201},[615],[572,2203,1947],{"className":2204},[615,684],[572,2206,2208],{"className":2207},[878],[572,2209,2211],{"className":2210},[840],[572,2212,2214],{"className":2213},[845],[572,2215,2217],{"className":2216,"style":1429},[849],[572,2218,2219,2222],{"style":1432},[572,2220],{"className":2221,"style":1016},[857],[572,2223,2225],{"className":2224},[862,863,864,865],[572,2226,1327],{"className":2227},[615,865],[572,2229,2230,2233],{"style":906},[572,2231],{"className":2232,"style":858},[857],[572,2234],{"className":2235,"style":914},[913],[572,2237,2238,2241],{"style":1452},[572,2239],{"className":2240,"style":858},[857],[572,2242,2244],{"className":2243},[615],[572,2245,812],{"className":2246},[615],[572,2248,962],{"className":2249},[961],[572,2251,2253],{"className":2252},[845],[572,2254,2256],{"className":2255,"style":1497},[849],[572,2257],{},[572,2259],{"className":2260},[975,833],[558,2262,2264],{"id":2263},"typische-fehler","Typische Fehler",[711,2266,2267,2587,2590],{},[714,2268,2269,2270,2527,2528,706],{},"Exponenten dividieren: ",[572,2271,2273,2309],{"className":2272},[575],[572,2274,2276],{"className":2275},[579],[581,2277,2278],{"xmlns":583},[585,2279,2280,2306],{},[588,2281,2282,2296,2300],{},[785,2283,2284,2290],{},[788,2285,2286,2288],{},[659,2287,661],{},[591,2289,1717],{},[788,2291,2292,2294],{},[659,2293,661],{},[591,2295,1327],{},[663,2297,2299],{"mathvariant":2298},"normal","≠",[788,2301,2302,2304],{},[659,2303,661],{},[591,2305,1369],{},[595,2307,2308],{"encoding":597},"\\frac{a^6}{a^2} \\neq a^3",[572,2310,2312,2492],{"className":2311,"ariaHidden":602},[601],[572,2313,2315,2319,2442,2445,2489],{"className":2314},[606],[572,2316],{"className":2317,"style":2318},[610],"height:1.3629em;vertical-align:-0.345em;",[572,2320,2322,2325,2439],{"className":2321},[615],[572,2323],{"className":2324},[832,833],[572,2326,2328],{"className":2327},[785],[572,2329,2331,2431],{"className":2330},[840,841],[572,2332,2334,2428],{"className":2333},[845],[572,2335,2338,2379,2387],{"className":2336,"style":2337},[849],"height:1.0179em;",[572,2339,2340,2343],{"style":853},[572,2341],{"className":2342,"style":858},[857],[572,2344,2346],{"className":2345},[862,863,864,865],[572,2347,2349],{"className":2348},[615,865],[572,2350,2352,2355],{"className":2351},[615,865],[572,2353,661],{"className":2354},[615,684,865],[572,2356,2358],{"className":2357},[878],[572,2359,2361],{"className":2360},[840],[572,2362,2364],{"className":2363},[845],[572,2365,2368],{"className":2366,"style":2367},[849],"height:0.7463em;",[572,2369,2370,2373],{"style":891},[572,2371],{"className":2372,"style":895},[857],[572,2374,2376],{"className":2375},[862,899,900,865],[572,2377,1327],{"className":2378},[615,865],[572,2380,2381,2384],{"style":906},[572,2382],{"className":2383,"style":858},[857],[572,2385],{"className":2386,"style":914},[913],[572,2388,2389,2392],{"style":917},[572,2390],{"className":2391,"style":858},[857],[572,2393,2395],{"className":2394},[862,863,864,865],[572,2396,2398],{"className":2397},[615,865],[572,2399,2401,2404],{"className":2400},[615,865],[572,2402,661],{"className":2403},[615,684,865],[572,2405,2407],{"className":2406},[878],[572,2408,2410],{"className":2409},[840],[572,2411,2413],{"className":2412},[845],[572,2414,2417],{"className":2415,"style":2416},[849],"height:0.8913em;",[572,2418,2419,2422],{"style":948},[572,2420],{"className":2421,"style":895},[857],[572,2423,2425],{"className":2424},[862,899,900,865],[572,2426,1717],{"className":2427},[615,865],[572,2429,962],{"className":2430},[961],[572,2432,2434],{"className":2433},[845],[572,2435,2437],{"className":2436,"style":969},[849],[572,2438],{},[572,2440],{"className":2441},[975,833],[572,2443],{"className":2444,"style":689},[688],[572,2446,2448,2482,2486],{"className":2447},[693],[572,2449,2451],{"className":2450},[693],[572,2452,2455],{"className":2453},[615,2454],"vbox",[572,2456,2459],{"className":2457},[2458],"thinbox",[572,2460,2463,2467,2478],{"className":2461},[2462],"rlap",[572,2464],{"className":2465,"style":2466},[610],"height:0.8889em;vertical-align:-0.1944em;",[572,2468,2471],{"className":2469},[2470],"inner",[572,2472,2474],{"className":2473},[615],[572,2475,2477],{"className":2476},[693],"",[572,2479],{"className":2480},[2481],"fix",[572,2483],{"className":2484},[688,2485],"nobreak",[572,2487,733],{"className":2488},[693],[572,2490],{"className":2491,"style":689},[688],[572,2493,2495,2498],{"className":2494},[606],[572,2496],{"className":2497,"style":991},[610],[572,2499,2501,2504],{"className":2500},[615],[572,2502,661],{"className":2503},[615,684],[572,2505,2507],{"className":2506},[878],[572,2508,2510],{"className":2509},[840],[572,2511,2513],{"className":2512},[845],[572,2514,2516],{"className":2515,"style":991},[849],[572,2517,2518,2521],{"style":1012},[572,2519],{"className":2520,"style":1016},[857],[572,2522,2524],{"className":2523},[862,863,864,865],[572,2525,1369],{"className":2526},[615,865],", richtig ist ",[572,2529,2531,2549],{"className":2530},[575],[572,2532,2534],{"className":2533},[579],[581,2535,2536],{"xmlns":583},[585,2537,2538,2546],{},[588,2539,2540],{},[788,2541,2542,2544],{},[659,2543,661],{},[591,2545,1724],{},[595,2547,2548],{"encoding":597},"a^4",[572,2550,2552],{"className":2551,"ariaHidden":602},[601],[572,2553,2555,2558],{"className":2554},[606],[572,2556],{"className":2557,"style":991},[610],[572,2559,2561,2564],{"className":2560},[615],[572,2562,661],{"className":2563},[615,684],[572,2565,2567],{"className":2566},[878],[572,2568,2570],{"className":2569},[840],[572,2571,2573],{"className":2572},[845],[572,2574,2576],{"className":2575,"style":991},[849],[572,2577,2578,2581],{"style":1012},[572,2579],{"className":2580,"style":1016},[857],[572,2582,2584],{"className":2583},[862,863,864,865],[572,2585,1724],{"className":2586},[615,865],[714,2588,2589],{},"Die Reihenfolge vertauschen: Es ist Zähler-Exponent minus Nenner-Exponent.",[714,2591,2592,2593,2842,2843,706],{},"Aus Summen nur einen Summanden kürzen: ",[572,2594,2596,2637],{"className":2595},[575],[572,2597,2599],{"className":2598},[579],[581,2600,2601],{"xmlns":583},[585,2602,2603,2634],{},[588,2604,2605,2626,2628,2630,2632],{},[785,2606,2607,2620],{},[588,2608,2609,2615,2618],{},[788,2610,2611,2613],{},[659,2612,661],{},[591,2614,1369],{},[663,2616,2617],{},"+",[591,2619,812],{},[788,2621,2622,2624],{},[659,2623,661],{},[591,2625,1327],{},[663,2627,2299],{"mathvariant":2298},[659,2629,661],{},[663,2631,2617],{},[591,2633,812],{},[595,2635,2636],{"encoding":597},"\\frac{a^3 + 1}{a^2} \\neq a + 1",[572,2638,2640,2814,2833],{"className":2639,"ariaHidden":602},[601],[572,2641,2643,2646,2772,2775,2811],{"className":2642},[606],[572,2644],{"className":2645,"style":2318},[610],[572,2647,2649,2652,2769],{"className":2648},[615],[572,2650],{"className":2651},[832,833],[572,2653,2655],{"className":2654},[785],[572,2656,2658,2761],{"className":2657},[840,841],[572,2659,2661,2758],{"className":2660},[845],[572,2662,2664,2704,2712],{"className":2663,"style":2337},[849],[572,2665,2666,2669],{"style":853},[572,2667],{"className":2668,"style":858},[857],[572,2670,2672],{"className":2671},[862,863,864,865],[572,2673,2675],{"className":2674},[615,865],[572,2676,2678,2681],{"className":2677},[615,865],[572,2679,661],{"className":2680},[615,684,865],[572,2682,2684],{"className":2683},[878],[572,2685,2687],{"className":2686},[840],[572,2688,2690],{"className":2689},[845],[572,2691,2693],{"className":2692,"style":2367},[849],[572,2694,2695,2698],{"style":891},[572,2696],{"className":2697,"style":895},[857],[572,2699,2701],{"className":2700},[862,899,900,865],[572,2702,1327],{"className":2703},[615,865],[572,2705,2706,2709],{"style":906},[572,2707],{"className":2708,"style":858},[857],[572,2710],{"className":2711,"style":914},[913],[572,2713,2714,2717],{"style":917},[572,2715],{"className":2716,"style":858},[857],[572,2718,2720],{"className":2719},[862,863,864,865],[572,2721,2723,2752,2755],{"className":2722},[615,865],[572,2724,2726,2729],{"className":2725},[615,865],[572,2727,661],{"className":2728},[615,684,865],[572,2730,2732],{"className":2731},[878],[572,2733,2735],{"className":2734},[840],[572,2736,2738],{"className":2737},[845],[572,2739,2741],{"className":2740,"style":2416},[849],[572,2742,2743,2746],{"style":948},[572,2744],{"className":2745,"style":895},[857],[572,2747,2749],{"className":2748},[862,899,900,865],[572,2750,1369],{"className":2751},[615,865],[572,2753,2617],{"className":2754},[1556,865],[572,2756,812],{"className":2757},[615,865],[572,2759,962],{"className":2760},[961],[572,2762,2764],{"className":2763},[845],[572,2765,2767],{"className":2766,"style":969},[849],[572,2768],{},[572,2770],{"className":2771},[975,833],[572,2773],{"className":2774,"style":689},[688],[572,2776,2778,2805,2808],{"className":2777},[693],[572,2779,2781],{"className":2780},[693],[572,2782,2784],{"className":2783},[615,2454],[572,2785,2787],{"className":2786},[2458],[572,2788,2790,2793,2802],{"className":2789},[2462],[572,2791],{"className":2792,"style":2466},[610],[572,2794,2796],{"className":2795},[2470],[572,2797,2799],{"className":2798},[615],[572,2800,2477],{"className":2801},[693],[572,2803],{"className":2804},[2481],[572,2806],{"className":2807},[688,2485],[572,2809,733],{"className":2810},[693],[572,2812],{"className":2813,"style":689},[688],[572,2815,2817,2821,2824,2827,2830],{"className":2816},[606],[572,2818],{"className":2819,"style":2820},[610],"height:0.6667em;vertical-align:-0.0833em;",[572,2822,661],{"className":2823},[615,684],[572,2825],{"className":2826,"style":1552},[688],[572,2828,2617],{"className":2829},[1556],[572,2831],{"className":2832,"style":1552},[688],[572,2834,2836,2839],{"className":2835},[606],[572,2837],{"className":2838,"style":611},[610],[572,2840,812],{"className":2841},[615],". Richtig ist ",[572,2844,2846,2900],{"className":2845},[575],[572,2847,2849],{"className":2848},[579],[581,2850,2851],{"xmlns":583},[585,2852,2853,2897],{},[588,2854,2855,2869,2871,2881,2883,2885,2887],{},[785,2856,2857,2863],{},[788,2858,2859,2861],{},[659,2860,661],{},[591,2862,1369],{},[788,2864,2865,2867],{},[659,2866,661],{},[591,2868,1327],{},[663,2870,2617],{},[785,2872,2873,2875],{},[591,2874,812],{},[788,2876,2877,2879],{},[659,2878,661],{},[591,2880,1327],{},[663,2882,733],{},[659,2884,661],{},[663,2886,2617],{},[785,2888,2889,2891],{},[591,2890,812],{},[788,2892,2893,2895],{},[659,2894,661],{},[591,2896,1327],{},[595,2898,2899],{"encoding":597},"\\frac{a^3}{a^2} + \\frac{1}{a^2} = a + \\frac{1}{a^2}",[572,2901,2903,3038,3147,3165],{"className":2902,"ariaHidden":602},[601],[572,2904,2906,2909,3029,3032,3035],{"className":2905},[606],[572,2907],{"className":2908,"style":2318},[610],[572,2910,2912,2915,3026],{"className":2911},[615],[572,2913],{"className":2914},[832,833],[572,2916,2918],{"className":2917},[785],[572,2919,2921,3018],{"className":2920},[840,841],[572,2922,2924,3015],{"className":2923},[845],[572,2925,2927,2967,2975],{"className":2926,"style":2337},[849],[572,2928,2929,2932],{"style":853},[572,2930],{"className":2931,"style":858},[857],[572,2933,2935],{"className":2934},[862,863,864,865],[572,2936,2938],{"className":2937},[615,865],[572,2939,2941,2944],{"className":2940},[615,865],[572,2942,661],{"className":2943},[615,684,865],[572,2945,2947],{"className":2946},[878],[572,2948,2950],{"className":2949},[840],[572,2951,2953],{"className":2952},[845],[572,2954,2956],{"className":2955,"style":2367},[849],[572,2957,2958,2961],{"style":891},[572,2959],{"className":2960,"style":895},[857],[572,2962,2964],{"className":2963},[862,899,900,865],[572,2965,1327],{"className":2966},[615,865],[572,2968,2969,2972],{"style":906},[572,2970],{"className":2971,"style":858},[857],[572,2973],{"className":2974,"style":914},[913],[572,2976,2977,2980],{"style":917},[572,2978],{"className":2979,"style":858},[857],[572,2981,2983],{"className":2982},[862,863,864,865],[572,2984,2986],{"className":2985},[615,865],[572,2987,2989,2992],{"className":2988},[615,865],[572,2990,661],{"className":2991},[615,684,865],[572,2993,2995],{"className":2994},[878],[572,2996,2998],{"className":2997},[840],[572,2999,3001],{"className":3000},[845],[572,3002,3004],{"className":3003,"style":2416},[849],[572,3005,3006,3009],{"style":948},[572,3007],{"className":3008,"style":895},[857],[572,3010,3012],{"className":3011},[862,899,900,865],[572,3013,1369],{"className":3014},[615,865],[572,3016,962],{"className":3017},[961],[572,3019,3021],{"className":3020},[845],[572,3022,3024],{"className":3023,"style":969},[849],[572,3025],{},[572,3027],{"className":3028},[975,833],[572,3030],{"className":3031,"style":1552},[688],[572,3033,2617],{"className":3034},[1556],[572,3036],{"className":3037,"style":1552},[688],[572,3039,3041,3044,3138,3141,3144],{"className":3040},[606],[572,3042],{"className":3043,"style":1141},[610],[572,3045,3047,3050,3135],{"className":3046},[615],[572,3048],{"className":3049},[832,833],[572,3051,3053],{"className":3052},[785],[572,3054,3056,3127],{"className":3055},[840,841],[572,3057,3059,3124],{"className":3058},[845],[572,3060,3062,3102,3110],{"className":3061,"style":1160},[849],[572,3063,3064,3067],{"style":853},[572,3065],{"className":3066,"style":858},[857],[572,3068,3070],{"className":3069},[862,863,864,865],[572,3071,3073],{"className":3072},[615,865],[572,3074,3076,3079],{"className":3075},[615,865],[572,3077,661],{"className":3078},[615,684,865],[572,3080,3082],{"className":3081},[878],[572,3083,3085],{"className":3084},[840],[572,3086,3088],{"className":3087},[845],[572,3089,3091],{"className":3090,"style":2367},[849],[572,3092,3093,3096],{"style":891},[572,3094],{"className":3095,"style":895},[857],[572,3097,3099],{"className":3098},[862,899,900,865],[572,3100,1327],{"className":3101},[615,865],[572,3103,3104,3107],{"style":906},[572,3105],{"className":3106,"style":858},[857],[572,3108],{"className":3109,"style":914},[913],[572,3111,3112,3115],{"style":917},[572,3113],{"className":3114,"style":858},[857],[572,3116,3118],{"className":3117},[862,863,864,865],[572,3119,3121],{"className":3120},[615,865],[572,3122,812],{"className":3123},[615,865],[572,3125,962],{"className":3126},[961],[572,3128,3130],{"className":3129},[845],[572,3131,3133],{"className":3132,"style":969},[849],[572,3134],{},[572,3136],{"className":3137},[975,833],[572,3139],{"className":3140,"style":689},[688],[572,3142,733],{"className":3143},[693],[572,3145],{"className":3146,"style":689},[688],[572,3148,3150,3153,3156,3159,3162],{"className":3149},[606],[572,3151],{"className":3152,"style":2820},[610],[572,3154,661],{"className":3155},[615,684],[572,3157],{"className":3158,"style":1552},[688],[572,3160,2617],{"className":3161},[1556],[572,3163],{"className":3164,"style":1552},[688],[572,3166,3168,3171],{"className":3167},[606],[572,3169],{"className":3170,"style":1141},[610],[572,3172,3174,3177,3262],{"className":3173},[615],[572,3175],{"className":3176},[832,833],[572,3178,3180],{"className":3179},[785],[572,3181,3183,3254],{"className":3182},[840,841],[572,3184,3186,3251],{"className":3185},[845],[572,3187,3189,3229,3237],{"className":3188,"style":1160},[849],[572,3190,3191,3194],{"style":853},[572,3192],{"className":3193,"style":858},[857],[572,3195,3197],{"className":3196},[862,863,864,865],[572,3198,3200],{"className":3199},[615,865],[572,3201,3203,3206],{"className":3202},[615,865],[572,3204,661],{"className":3205},[615,684,865],[572,3207,3209],{"className":3208},[878],[572,3210,3212],{"className":3211},[840],[572,3213,3215],{"className":3214},[845],[572,3216,3218],{"className":3217,"style":2367},[849],[572,3219,3220,3223],{"style":891},[572,3221],{"className":3222,"style":895},[857],[572,3224,3226],{"className":3225},[862,899,900,865],[572,3227,1327],{"className":3228},[615,865],[572,3230,3231,3234],{"style":906},[572,3232],{"className":3233,"style":858},[857],[572,3235],{"className":3236,"style":914},[913],[572,3238,3239,3242],{"style":917},[572,3240],{"className":3241,"style":858},[857],[572,3243,3245],{"className":3244},[862,863,864,865],[572,3246,3248],{"className":3247},[615,865],[572,3249,812],{"className":3250},[615,865],[572,3252,962],{"className":3253},[961],[572,3255,3257],{"className":3256},[845],[572,3258,3260],{"className":3259,"style":969},[849],[572,3261],{},[572,3263],{"className":3264},[975,833],{"title":3266,"searchDepth":3267,"depth":3267,"links":3268},"",2,[3269,3270,3271,3272],{"id":560,"depth":3267,"text":561},{"id":1290,"depth":3267,"text":1291},{"id":1692,"depth":3267,"text":1693},{"id":2263,"depth":3267,"text":2264},[3274,3277,3279,3282],{"lhs":3275,"rhs":3276},"a^m \u002F a^n","a^(m - n)",{"lhs":3278,"rhs":1737},"5^6 \u002F 5^4",{"lhs":3280,"rhs":3281},"x^3 \u002F x^5","1 \u002F x^2",{"lhs":3283,"rhs":812},"a^n \u002F a^n","m, n \\in \\mathbb{Z},\\ a \\neq 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>m\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">Z\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m, n \\in \\mathbb{Z},\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">Z\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\neq 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","power-quotient-rule","\\frac{a^m}{a^n} = a^{m-n}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmfrac>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>m\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\frac{a^m}{a^n} = a^{m-n}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.0274em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3414em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.5904em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6644em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8213em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8213em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren",[],[3297,3298],"power-product-rule","negative-exponent",{"title":548,"description":3266},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren","Potenzen mit gleicher Basis werden dividiert, indem man die Exponenten subtrahiert.",[3303,3304,3305,3306],"potenz","potenzgesetz","exponent","division",[3308,3311],{"symbol":661,"meaning":3309,"symbolHtml":3310},"Basis","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3312,"meaning":3313,"symbolHtml":3314},"m, n","Exponenten (Hochzahlen)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>m\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m, n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","LfhyMe2kBztyzOJP9nvsHInMkprzoIsI2yDgUiQlYR8",[3317,3320],{"stem":3318,"title":3319,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fnegative-exponenten","Negative Exponenten und Exponent null",{"stem":3321,"title":3322,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-multiplizieren","Potenzen mit gleicher Basis multiplizieren",1793824273195]