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a^5",[572,884,886,944,988,1011,1030,1052,1073,1094],{"className":885,"ariaHidden":612},[611],[572,887,889,893,933,937,941],{"className":888},[616],[572,890],{"className":891,"style":892},[620],"height:0.8641em;",[572,894,896,899],{"className":895},[625],[572,897,593],{"className":898},[625,626],[572,900,903],{"className":901},[902],"msupsub",[572,904,907],{"className":905},[906],"vlist-t",[572,908,911],{"className":909},[910],"vlist-r",[572,912,915],{"className":913,"style":892},[914],"vlist",[572,916,918,923],{"style":917},"top:-3.113em;margin-right:0.05em;",[572,919],{"className":920,"style":922},[921],"pstrut","height:2.7em;",[572,924,930],{"className":925},[926,927,928,929],"sizing","reset-size6","size3","mtight",[572,931,829],{"className":932},[625,929],[572,934],{"className":935,"style":936},[630],"margin-right:0.2222em;",[572,938,832],{"className":939},[940],"mbin",[572,942],{"className":943,"style":936},[630],[572,945,947,950,979,982,985],{"className":946},[616],[572,948],{"className":949,"style":892},[620],[572,951,953,956],{"className":952},[625],[572,954,593],{"className":955},[625,626],[572,957,959],{"className":958},[902],[572,960,962],{"className":961},[906],[572,963,965],{"className":964},[910],[572,966,968],{"className":967,"style":892},[914],[572,969,970,973],{"style":917},[572,971],{"className":972,"style":922},[921],[572,974,976],{"className":975},[926,927,928,929],[572,977,839],{"className":978},[625,929],[572,980],{"className":981,"style":631},[630],[572,983,676],{"className":984},[635],[572,986],{"className":987,"style":631},[630],[572,989,991,995,999,1002,1005,1008],{"className":990},[616],[572,992],{"className":993,"style":994},[620],"height:1em;vertical-align:-0.25em;",[572,996,845],{"className":997},[998],"mopen",[572,1000,593],{"className":1001},[625,626],[572,1003],{"className":1004,"style":936},[630],[572,1006,832],{"className":1007},[940],[572,1009],{"className":1010,"style":936},[630],[572,1012,1014,1018,1021,1024,1027],{"className":1013},[616],[572,1015],{"className":1016,"style":1017},[620],"height:0.4445em;",[572,1019,593],{"className":1020},[625,626],[572,1022],{"className":1023,"style":936},[630],[572,1025,832],{"className":1026},[940],[572,1028],{"className":1029,"style":936},[630],[572,1031,1033,1036,1039,1043,1046,1049],{"className":1032},[616],[572,1034],{"className":1035,"style":994},[620],[572,1037,593],{"className":1038},[625,626],[572,1040,858],{"className":1041},[1042],"mclose",[572,1044],{"className":1045,"style":936},[630],[572,1047,832],{"className":1048},[940],[572,1050],{"className":1051,"style":936},[630],[572,1053,1055,1058,1061,1064,1067,1070],{"className":1054},[616],[572,1056],{"className":1057,"style":994},[620],[572,1059,845],{"className":1060},[998],[572,1062,593],{"className":1063},[625,626],[572,1065],{"className":1066,"style":936},[630],[572,1068,832],{"className":1069},[940],[572,1071],{"className":1072,"style":936},[630],[572,1074,1076,1079,1082,1085,1088,1091],{"className":1075},[616],[572,1077],{"className":1078,"style":994},[620],[572,1080,593],{"className":1081},[625,626],[572,1083,858],{"className":1084},[1042],[572,1086],{"className":1087,"style":631},[630],[572,1089,676],{"className":1090},[635],[572,1092],{"className":1093,"style":631},[630],[572,1095,1097,1100],{"className":1096},[616],[572,1098],{"className":1099,"style":892},[620],[572,1101,1103,1106],{"className":1102},[625],[572,1104,593],{"className":1105},[625,626],[572,1107,1109],{"className":1108},[902],[572,1110,1112],{"className":1111},[906],[572,1113,1115],{"className":1114},[910],[572,1116,1118],{"className":1117,"style":892},[914],[572,1119,1120,1123],{"style":917},[572,1121],{"className":1122,"style":922},[921],[572,1124,1126],{"className":1125},[926,927,928,929],[572,1127,879],{"className":1128},[625,929],[558,1130,1132],{"id":1131},"beispiele","Beispiele",[572,1134,1136],{"className":1135},[808],[572,1137,1139,1180],{"className":1138},[575],[572,1140,1142],{"className":1141},[579],[581,1143,1144],{"xmlns":583,"display":817},[585,1145,1146,1177],{},[588,1147,1148,1154,1156,1163,1165,1172,1174],{},[823,1149,1150,1152],{},[600,1151,839],{},[600,1153,829],{},[595,1155,832],{},[823,1157,1158,1160],{},[600,1159,839],{},[600,1161,1162],{},"4",[595,1164,676],{},[823,1166,1167,1169],{},[600,1168,839],{},[600,1170,1171],{},"7",[595,1173,676],{},[600,1175,1176],{},"128",[604,1178,1179],{"encoding":606},"2^3 \\cdot 2^4 = 2^7 = 128",[572,1181,1183,1227,1271,1315],{"className":1182,"ariaHidden":612},[611],[572,1184,1186,1189,1218,1221,1224],{"className":1185},[616],[572,1187],{"className":1188,"style":892},[620],[572,1190,1192,1195],{"className":1191},[625],[572,1193,839],{"className":1194},[625],[572,1196,1198],{"className":1197},[902],[572,1199,1201],{"className":1200},[906],[572,1202,1204],{"className":1203},[910],[572,1205,1207],{"className":1206,"style":892},[914],[572,1208,1209,1212],{"style":917},[572,1210],{"className":1211,"style":922},[921],[572,1213,1215],{"className":1214},[926,927,928,929],[572,1216,829],{"className":1217},[625,929],[572,1219],{"className":1220,"style":936},[630],[572,1222,832],{"className":1223},[940],[572,1225],{"className":1226,"style":936},[630],[572,1228,1230,1233,1262,1265,1268],{"className":1229},[616],[572,1231],{"className":1232,"style":892},[620],[572,1234,1236,1239],{"className":1235},[625],[572,1237,839],{"className":1238},[625],[572,1240,1242],{"className":1241},[902],[572,1243,1245],{"className":1244},[906],[572,1246,1248],{"className":1247},[910],[572,1249,1251],{"className":1250,"style":892},[914],[572,1252,1253,1256],{"style":917},[572,1254],{"className":1255,"style":922},[921],[572,1257,1259],{"className":1258},[926,927,928,929],[572,1260,1162],{"className":1261},[625,929],[572,1263],{"className":1264,"style":631},[630],[572,1266,676],{"className":1267},[635],[572,1269],{"className":1270,"style":631},[630],[572,1272,1274,1277,1306,1309,1312],{"className":1273},[616],[572,1275],{"className":1276,"style":892},[620],[572,1278,1280,1283],{"className":1279},[625],[572,1281,839],{"className":1282},[625],[572,1284,1286],{"className":1285},[902],[572,1287,1289],{"className":1288},[906],[572,1290,1292],{"className":1291},[910],[572,1293,1295],{"className":1294,"style":892},[914],[572,1296,1297,1300],{"style":917},[572,1298],{"className":1299,"style":922},[921],[572,1301,1303],{"className":1302},[926,927,928,929],[572,1304,1171],{"className":1305},[625,929],[572,1307],{"className":1308,"style":631},[630],[572,1310,676],{"className":1311},[635],[572,1313],{"className":1314,"style":631},[630],[572,1316,1318,1321],{"className":1317},[616],[572,1319],{"className":1320,"style":686},[620],[572,1322,1176],{"className":1323},[625],[572,1325,1327],{"className":1326},[808],[572,1328,1330,1391],{"className":1329},[575],[572,1331,1333],{"className":1332},[579],[581,1334,1335],{"xmlns":583,"display":817},[585,1336,1337,1388],{},[588,1338,1339,1346,1348,1359,1361,1380,1382],{},[823,1340,1341,1344],{},[591,1342,1343],{},"x",[600,1345,879],{},[595,1347,832],{},[823,1349,1350,1352],{},[591,1351,1343],{},[588,1353,1354,1357],{},[595,1355,1356],{},"−",[600,1358,839],{},[595,1360,676],{},[823,1362,1363,1365],{},[591,1364,1343],{},[588,1366,1367,1369,1372,1374,1376,1378],{},[600,1368,879],{},[595,1370,1371],{},"+",[595,1373,845],{"stretchy":844},[595,1375,1356],{},[600,1377,839],{},[595,1379,858],{"stretchy":844},[595,1381,676],{},[823,1383,1384,1386],{},[591,1385,1343],{},[600,1387,829],{},[604,1389,1390],{"encoding":606},"x^5 \\cdot x^{-2} = x^{5 + (-2)} = x^3",[572,1392,1394,1438,1488,1551],{"className":1393,"ariaHidden":612},[611],[572,1395,1397,1400,1429,1432,1435],{"className":1396},[616],[572,1398],{"className":1399,"style":892},[620],[572,1401,1403,1406],{"className":1402},[625],[572,1404,1343],{"className":1405},[625,626],[572,1407,1409],{"className":1408},[902],[572,1410,1412],{"className":1411},[906],[572,1413,1415],{"className":1414},[910],[572,1416,1418],{"className":1417,"style":892},[914],[572,1419,1420,1423],{"style":917},[572,1421],{"className":1422,"style":922},[921],[572,1424,1426],{"className":1425},[926,927,928,929],[572,1427,879],{"className":1428},[625,929],[572,1430],{"className":1431,"style":936},[630],[572,1433,832],{"className":1434},[940],[572,1436],{"className":1437,"style":936},[630],[572,1439,1441,1444,1479,1482,1485],{"className":1440},[616],[572,1442],{"className":1443,"style":892},[620],[572,1445,1447,1450],{"className":1446},[625],[572,1448,1343],{"className":1449},[625,626],[572,1451,1453],{"className":1452},[902],[572,1454,1456],{"className":1455},[906],[572,1457,1459],{"className":1458},[910],[572,1460,1462],{"className":1461,"style":892},[914],[572,1463,1464,1467],{"style":917},[572,1465],{"className":1466,"style":922},[921],[572,1468,1470],{"className":1469},[926,927,928,929],[572,1471,1473,1476],{"className":1472},[625,929],[572,1474,1356],{"className":1475},[625,929],[572,1477,839],{"className":1478},[625,929],[572,1480],{"className":1481,"style":631},[630],[572,1483,676],{"className":1484},[635],[572,1486],{"className":1487,"style":631},[630],[572,1489,1491,1495,1542,1545,1548],{"className":1490},[616],[572,1492],{"className":1493,"style":1494},[620],"height:0.938em;",[572,1496,1498,1501],{"className":1497},[625],[572,1499,1343],{"className":1500},[625,626],[572,1502,1504],{"className":1503},[902],[572,1505,1507],{"className":1506},[906],[572,1508,1510],{"className":1509},[910],[572,1511,1513],{"className":1512,"style":1494},[914],[572,1514,1515,1518],{"style":917},[572,1516],{"className":1517,"style":922},[921],[572,1519,1521],{"className":1520},[926,927,928,929],[572,1522,1524,1527,1530,1533,1536,1539],{"className":1523},[625,929],[572,1525,879],{"className":1526},[625,929],[572,1528,1371],{"className":1529},[940,929],[572,1531,845],{"className":1532},[998,929],[572,1534,1356],{"className":1535},[625,929],[572,1537,839],{"className":1538},[625,929],[572,1540,858],{"className":1541},[1042,929],[572,1543],{"className":1544,"style":631},[630],[572,1546,676],{"className":1547},[635],[572,1549],{"className":1550,"style":631},[630],[572,1552,1554,1557],{"className":1553},[616],[572,1555],{"className":1556,"style":892},[620],[572,1558,1560,1563],{"className":1559},[625],[572,1561,1343],{"className":1562},[625,626],[572,1564,1566],{"className":1565},[902],[572,1567,1569],{"className":1568},[906],[572,1570,1572],{"className":1571},[910],[572,1573,1575],{"className":1574,"style":892},[914],[572,1576,1577,1580],{"style":917},[572,1578],{"className":1579,"style":922},[921],[572,1581,1583],{"className":1582},[926,927,928,929],[572,1584,829],{"className":1585},[625,929],[572,1587,1589],{"className":1588},[808],[572,1590,1592,1639],{"className":1591},[575],[572,1593,1595],{"className":1594},[579],[581,1596,1597],{"xmlns":583,"display":817},[585,1598,1599,1636],{},[588,1600,1601,1608,1610,1616,1618,1624,1626,1629,1633],{},[823,1602,1603,1606],{},[600,1604,1605],{},"10",[600,1607,829],{},[595,1609,832],{},[823,1611,1612,1614],{},[600,1613,1605],{},[600,1615,839],{},[595,1617,676],{},[823,1619,1620,1622],{},[600,1621,1605],{},[600,1623,879],{},[595,1625,676],{},[600,1627,1628],{},"100",[1630,1631,1632],"mtext",{}," ",[600,1634,1635],{},"000",[604,1637,1638],{"encoding":606},"10^3 \\cdot 10^2 = 10^5 = 100\\,000",[572,1640,1642,1690,1737,1784],{"className":1641,"ariaHidden":612},[611],[572,1643,1645,1648,1652,1681,1684,1687],{"className":1644},[616],[572,1646],{"className":1647,"style":892},[620],[572,1649,1651],{"className":1650},[625],"1",[572,1653,1655,1658],{"className":1654},[625],[572,1656,602],{"className":1657},[625],[572,1659,1661],{"className":1660},[902],[572,1662,1664],{"className":1663},[906],[572,1665,1667],{"className":1666},[910],[572,1668,1670],{"className":1669,"style":892},[914],[572,1671,1672,1675],{"style":917},[572,1673],{"className":1674,"style":922},[921],[572,1676,1678],{"className":1677},[926,927,928,929],[572,1679,829],{"className":1680},[625,929],[572,1682],{"className":1683,"style":936},[630],[572,1685,832],{"className":1686},[940],[572,1688],{"className":1689,"style":936},[630],[572,1691,1693,1696,1699,1728,1731,1734],{"className":1692},[616],[572,1694],{"className":1695,"style":892},[620],[572,1697,1651],{"className":1698},[625],[572,1700,1702,1705],{"className":1701},[625],[572,1703,602],{"className":1704},[625],[572,1706,1708],{"className":1707},[902],[572,1709,1711],{"className":1710},[906],[572,1712,1714],{"className":1713},[910],[572,1715,1717],{"className":1716,"style":892},[914],[572,1718,1719,1722],{"style":917},[572,1720],{"className":1721,"style":922},[921],[572,1723,1725],{"className":1724},[926,927,928,929],[572,1726,839],{"className":1727},[625,929],[572,1729],{"className":1730,"style":631},[630],[572,1732,676],{"className":1733},[635],[572,1735],{"className":1736,"style":631},[630],[572,1738,1740,1743,1746,1775,1778,1781],{"className":1739},[616],[572,1741],{"className":1742,"style":892},[620],[572,1744,1651],{"className":1745},[625],[572,1747,1749,1752],{"className":1748},[625],[572,1750,602],{"className":1751},[625],[572,1753,1755],{"className":1754},[902],[572,1756,1758],{"className":1757},[906],[572,1759,1761],{"className":1760},[910],[572,1762,1764],{"className":1763,"style":892},[914],[572,1765,1766,1769],{"style":917},[572,1767],{"className":1768,"style":922},[921],[572,1770,1772],{"className":1771},[926,927,928,929],[572,1773,879],{"className":1774},[625,929],[572,1776],{"className":1777,"style":631},[630],[572,1779,676],{"className":1780},[635],[572,1782],{"className":1783,"style":631},[630],[572,1785,1787,1790,1793,1797],{"className":1786},[616],[572,1788],{"className":1789,"style":686},[620],[572,1791,1628],{"className":1792},[625],[572,1794],{"className":1795,"style":1796},[630],"margin-right:0.1667em;",[572,1798,1635],{"className":1799},[625],[558,1801,1803],{"id":1802},"typische-fehler","Typische Fehler",[1805,1806,1807,2014,2214],"ul",{},[1808,1809,1810,1811,797],"li",{},"Exponenten multiplizieren statt addieren: ",[572,1812,1814,1849],{"className":1813},[575],[572,1815,1817],{"className":1816},[579],[581,1818,1819],{"xmlns":583},[585,1820,1821,1846],{},[588,1822,1823,1829,1831,1837,1839],{},[823,1824,1825,1827],{},[600,1826,839],{},[600,1828,829],{},[595,1830,832],{},[823,1832,1833,1835],{},[600,1834,839],{},[600,1836,1162],{},[595,1838,598],{"mathvariant":597},[823,1840,1841,1843],{},[600,1842,839],{},[600,1844,1845],{},"12",[604,1847,1848],{"encoding":606},"2^3 \\cdot 2^4 \\neq 2^{12}",[572,1850,1852,1898,1976],{"className":1851,"ariaHidden":612},[611],[572,1853,1855,1859,1889,1892,1895],{"className":1854},[616],[572,1856],{"className":1857,"style":1858},[620],"height:0.8141em;",[572,1860,1862,1865],{"className":1861},[625],[572,1863,839],{"className":1864},[625],[572,1866,1868],{"className":1867},[902],[572,1869,1871],{"className":1870},[906],[572,1872,1874],{"className":1873},[910],[572,1875,1877],{"className":1876,"style":1858},[914],[572,1878,1880,1883],{"style":1879},"top:-3.063em;margin-right:0.05em;",[572,1881],{"className":1882,"style":922},[921],[572,1884,1886],{"className":1885},[926,927,928,929],[572,1887,829],{"className":1888},[625,929],[572,1890],{"className":1891,"style":936},[630],[572,1893,832],{"className":1894},[940],[572,1896],{"className":1897,"style":936},[630],[572,1899,1901,1905,1934,1937,1973],{"className":1900},[616],[572,1902],{"className":1903,"style":1904},[620],"height:1.0085em;vertical-align:-0.1944em;",[572,1906,1908,1911],{"className":1907},[625],[572,1909,839],{"className":1910},[625],[572,1912,1914],{"className":1913},[902],[572,1915,1917],{"className":1916},[906],[572,1918,1920],{"className":1919},[910],[572,1921,1923],{"className":1922,"style":1858},[914],[572,1924,1925,1928],{"style":1879},[572,1926],{"className":1927,"style":922},[921],[572,1929,1931],{"className":1930},[926,927,928,929],[572,1932,1162],{"className":1933},[625,929],[572,1935],{"className":1936,"style":631},[630],[572,1938,1940,1967,1970],{"className":1939},[635],[572,1941,1943],{"className":1942},[635],[572,1944,1946],{"className":1945},[625,642],[572,1947,1949],{"className":1948},[646],[572,1950,1952,1955,1964],{"className":1951},[650],[572,1953],{"className":1954,"style":621},[620],[572,1956,1958],{"className":1957},[657],[572,1959,1961],{"className":1960},[625],[572,1962,664],{"className":1963},[635],[572,1965],{"className":1966},[668],[572,1968],{"className":1969},[630,672],[572,1971,676],{"className":1972},[635],[572,1974],{"className":1975,"style":631},[630],[572,1977,1979,1982],{"className":1978},[616],[572,1980],{"className":1981,"style":1858},[620],[572,1983,1985,1988],{"className":1984},[625],[572,1986,839],{"className":1987},[625],[572,1989,1991],{"className":1990},[902],[572,1992,1994],{"className":1993},[906],[572,1995,1997],{"className":1996},[910],[572,1998,2000],{"className":1999,"style":1858},[914],[572,2001,2002,2005],{"style":1879},[572,2003],{"className":2004,"style":922},[921],[572,2006,2008],{"className":2007},[926,927,928,929],[572,2009,2011],{"className":2010},[625,929],[572,2012,1845],{"className":2013},[625,929],[1808,2015,2016,2017,797],{},"Die Regel bei verschiedenen Basen anwenden: ",[572,2018,2020,2055],{"className":2019},[575],[572,2021,2023],{"className":2022},[579],[581,2024,2025],{"xmlns":583},[585,2026,2027,2052],{},[588,2028,2029,2035,2037,2043,2045],{},[823,2030,2031,2033],{},[600,2032,839],{},[600,2034,829],{},[595,2036,832],{},[823,2038,2039,2041],{},[600,2040,829],{},[600,2042,839],{},[595,2044,598],{"mathvariant":597},[823,2046,2047,2050],{},[600,2048,2049],{},"6",[600,2051,879],{},[604,2053,2054],{"encoding":606},"2^3 \\cdot 3^2 \\neq 6^5",[572,2056,2058,2102,2179],{"className":2057,"ariaHidden":612},[611],[572,2059,2061,2064,2093,2096,2099],{"className":2060},[616],[572,2062],{"className":2063,"style":1858},[620],[572,2065,2067,2070],{"className":2066},[625],[572,2068,839],{"className":2069},[625],[572,2071,2073],{"className":2072},[902],[572,2074,2076],{"className":2075},[906],[572,2077,2079],{"className":2078},[910],[572,2080,2082],{"className":2081,"style":1858},[914],[572,2083,2084,2087],{"style":1879},[572,2085],{"className":2086,"style":922},[921],[572,2088,2090],{"className":2089},[926,927,928,929],[572,2091,829],{"className":2092},[625,929],[572,2094],{"className":2095,"style":936},[630],[572,2097,832],{"className":2098},[940],[572,2100],{"className":2101,"style":936},[630],[572,2103,2105,2108,2137,2140,2176],{"className":2104},[616],[572,2106],{"className":2107,"style":1904},[620],[572,2109,2111,2114],{"className":2110},[625],[572,2112,829],{"className":2113},[625],[572,2115,2117],{"className":2116},[902],[572,2118,2120],{"className":2119},[906],[572,2121,2123],{"className":2122},[910],[572,2124,2126],{"className":2125,"style":1858},[914],[572,2127,2128,2131],{"style":1879},[572,2129],{"className":2130,"style":922},[921],[572,2132,2134],{"className":2133},[926,927,928,929],[572,2135,839],{"className":2136},[625,929],[572,2138],{"className":2139,"style":631},[630],[572,2141,2143,2170,2173],{"className":2142},[635],[572,2144,2146],{"className":2145},[635],[572,2147,2149],{"className":2148},[625,642],[572,2150,2152],{"className":2151},[646],[572,2153,2155,2158,2167],{"className":2154},[650],[572,2156],{"className":2157,"style":621},[620],[572,2159,2161],{"className":2160},[657],[572,2162,2164],{"className":2163},[625],[572,2165,664],{"className":2166},[635],[572,2168],{"className":2169},[668],[572,2171],{"className":2172},[630,672],[572,2174,676],{"className":2175},[635],[572,2177],{"className":2178,"style":631},[630],[572,2180,2182,2185],{"className":2181},[616],[572,2183],{"className":2184,"style":1858},[620],[572,2186,2188,2191],{"className":2187},[625],[572,2189,2049],{"className":2190},[625],[572,2192,2194],{"className":2193},[902],[572,2195,2197],{"className":2196},[906],[572,2198,2200],{"className":2199},[910],[572,2201,2203],{"className":2202,"style":1858},[914],[572,2204,2205,2208],{"style":1879},[572,2206],{"className":2207,"style":922},[921],[572,2209,2211],{"className":2210},[926,927,928,929],[572,2212,879],{"className":2213},[625,929],[1808,2215,2216,2217,797],{},"Die Regel auf Summen übertragen: ",[572,2218,2220,2262],{"className":2219},[575],[572,2221,2223],{"className":2222},[579],[581,2224,2225],{"xmlns":583},[585,2226,2227,2259],{},[588,2228,2229,2236,2238,2245,2247],{},[823,2230,2231,2233],{},[591,2232,593],{},[591,2234,2235],{},"m",[595,2237,1371],{},[823,2239,2240,2242],{},[591,2241,593],{},[591,2243,2244],{},"n",[595,2246,598],{"mathvariant":597},[823,2248,2249,2251],{},[591,2250,593],{},[588,2252,2253,2255,2257],{},[591,2254,2235],{},[595,2256,1371],{},[591,2258,2244],{},[604,2260,2261],{"encoding":606},"a^m + a^n \\neq a^{m+n}",[572,2263,2265,2311,2388],{"className":2264,"ariaHidden":612},[611],[572,2266,2268,2272,2302,2305,2308],{"className":2267},[616],[572,2269],{"className":2270,"style":2271},[620],"height:0.7477em;vertical-align:-0.0833em;",[572,2273,2275,2278],{"className":2274},[625],[572,2276,593],{"className":2277},[625,626],[572,2279,2281],{"className":2280},[902],[572,2282,2284],{"className":2283},[906],[572,2285,2287],{"className":2286},[910],[572,2288,2291],{"className":2289,"style":2290},[914],"height:0.6644em;",[572,2292,2293,2296],{"style":1879},[572,2294],{"className":2295,"style":922},[921],[572,2297,2299],{"className":2298},[926,927,928,929],[572,2300,2235],{"className":2301},[625,626,929],[572,2303],{"className":2304,"style":936},[630],[572,2306,1371],{"className":2307},[940],[572,2309],{"className":2310,"style":936},[630],[572,2312,2314,2317,2346,2349,2385],{"className":2313},[616],[572,2315],{"className":2316,"style":621},[620],[572,2318,2320,2323],{"className":2319},[625],[572,2321,593],{"className":2322},[625,626],[572,2324,2326],{"className":2325},[902],[572,2327,2329],{"className":2328},[906],[572,2330,2332],{"className":2331},[910],[572,2333,2335],{"className":2334,"style":2290},[914],[572,2336,2337,2340],{"style":1879},[572,2338],{"className":2339,"style":922},[921],[572,2341,2343],{"className":2342},[926,927,928,929],[572,2344,2244],{"className":2345},[625,626,929],[572,2347],{"className":2348,"style":631},[630],[572,2350,2352,2379,2382],{"className":2351},[635],[572,2353,2355],{"className":2354},[635],[572,2356,2358],{"className":2357},[625,642],[572,2359,2361],{"className":2360},[646],[572,2362,2364,2367,2376],{"className":2363},[650],[572,2365],{"className":2366,"style":621},[620],[572,2368,2370],{"className":2369},[657],[572,2371,2373],{"className":2372},[625],[572,2374,664],{"className":2375},[635],[572,2377],{"className":2378},[668],[572,2380],{"className":2381},[630,672],[572,2383,676],{"className":2384},[635],[572,2386],{"className":2387,"style":631},[630],[572,2389,2391,2395],{"className":2390},[616],[572,2392],{"className":2393,"style":2394},[620],"height:0.7713em;",[572,2396,2398,2401],{"className":2397},[625],[572,2399,593],{"className":2400},[625,626],[572,2402,2404],{"className":2403},[902],[572,2405,2407],{"className":2406},[906],[572,2408,2410],{"className":2409},[910],[572,2411,2413],{"className":2412,"style":2394},[914],[572,2414,2415,2418],{"style":1879},[572,2416],{"className":2417,"style":922},[921],[572,2419,2421],{"className":2420},[926,927,928,929],[572,2422,2424,2427,2430],{"className":2423},[625,929],[572,2425,2235],{"className":2426},[625,626,929],[572,2428,1371],{"className":2429},[940,929],[572,2431,2244],{"className":2432},[625,626,929],{"title":2434,"searchDepth":2435,"depth":2435,"links":2436},"",2,[2437,2438,2439,2440],{"id":560,"depth":2435,"text":561},{"id":800,"depth":2435,"text":801},{"id":1131,"depth":2435,"text":1132},{"id":1802,"depth":2435,"text":1803},[2442,2445,2448,2449,2452],{"lhs":2443,"rhs":2444},"a^m * a^n","a^(m + n)",{"lhs":2446,"rhs":2447},"2^3 * 2^4","2^7",{"lhs":2447,"rhs":1176},{"lhs":2450,"rhs":2451},"x^5 * x^(-2)","x^3",{"lhs":2453,"rhs":2454},"10^3 * 10^2","100000","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-product-rule","a^m \\cdot 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>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\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\">a^m \\cdot 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:0.7144em;\">\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:0.7144em;\">\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 mathnormal mtight\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7144em;\">\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:0.7144em;\">\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 mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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 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