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0",[572,967,969,999],{"className":968,"ariaHidden":625},[646],[572,970,972,976,979,983,987,990,993,996],{"className":971},[650],[572,973],{"className":974,"style":975},[654],"height:0.8889em;vertical-align:-0.1944em;",[572,977,604],{"className":978},[659,699],[572,980,953],{"className":981},[982],"mpunct",[572,984],{"className":985,"style":986},[803],"margin-right:0.1667em;",[572,988,612],{"className":989},[659,699],[572,991],{"className":992,"style":804},[803],[572,994,958],{"className":995},[808],[572,997],{"className":998,"style":804},[803],[572,1000,1002,1006],{"className":1001},[650],[572,1003],{"className":1004,"style":1005},[654],"height:0.6444em;",[572,1007,962],{"className":1008},[659],".",[558,1011,1013],{"id":1012},"beispiele","Beispiele",[572,1015,1017],{"className":1016},[575],[572,1018,1020,1064],{"className":1019},[579],[572,1021,1023],{"className":1022},[583],[585,1024,1025],{"xmlns":587,"display":588},[590,1026,1027,1061],{},[593,1028,1029,1037,1040,1047,1049,1056,1058],{},[599,1030,1031,1034],{},[960,1032,1033],{},"2",[960,1035,1036],{},"3",[616,1038,1039],{},"⋅",[599,1041,1042,1045],{},[960,1043,1044],{},"5",[960,1046,1036],{},[616,1048,618],{},[599,1050,1051,1054],{},[960,1052,1053],{},"10",[960,1055,1036],{},[616,1057,618],{},[960,1059,1060],{},"1000",[639,1062,1063],{"encoding":641},"2^3 \\cdot 5^3 = 10^3 = 1000",[572,1065,1067,1115,1159,1207],{"className":1066,"ariaHidden":625},[646],[572,1068,1070,1074,1104,1108,1112],{"className":1069},[650],[572,1071],{"className":1072,"style":1073},[654],"height:0.8641em;",[572,1075,1077,1080],{"className":1076},[659],[572,1078,1033],{"className":1079},[659],[572,1081,1083],{"className":1082},[703],[572,1084,1086],{"className":1085},[671],[572,1087,1089],{"className":1088},[676],[572,1090,1092],{"className":1091,"style":1073},[680],[572,1093,1095,1098],{"style":1094},"top:-3.113em;margin-right:0.05em;",[572,1096],{"className":1097,"style":720},[688],[572,1099,1101],{"className":1100},[724,725,726,727],[572,1102,1036],{"className":1103},[659,727],[572,1105],{"className":1106,"style":1107},[803],"margin-right:0.2222em;",[572,1109,1039],{"className":1110},[1111],"mbin",[572,1113],{"className":1114,"style":1107},[803],[572,1116,1118,1121,1150,1153,1156],{"className":1117},[650],[572,1119],{"className":1120,"style":1073},[654],[572,1122,1124,1127],{"className":1123},[659],[572,1125,1044],{"className":1126},[659],[572,1128,1130],{"className":1129},[703],[572,1131,1133],{"className":1132},[671],[572,1134,1136],{"className":1135},[676],[572,1137,1139],{"className":1138,"style":1073},[680],[572,1140,1141,1144],{"style":1094},[572,1142],{"className":1143,"style":720},[688],[572,1145,1147],{"className":1146},[724,725,726,727],[572,1148,1036],{"className":1149},[659,727],[572,1151],{"className":1152,"style":804},[803],[572,1154,618],{"className":1155},[808],[572,1157],{"className":1158,"style":804},[803],[572,1160,1162,1165,1169,1198,1201,1204],{"className":1161},[650],[572,1163],{"className":1164,"style":1073},[654],[572,1166,1168],{"className":1167},[659],"1",[572,1170,1172,1175],{"className":1171},[659],[572,1173,962],{"className":1174},[659],[572,1176,1178],{"className":1177},[703],[572,1179,1181],{"className":1180},[671],[572,1182,1184],{"className":1183},[676],[572,1185,1187],{"className":1186,"style":1073},[680],[572,1188,1189,1192],{"style":1094},[572,1190],{"className":1191,"style":720},[688],[572,1193,1195],{"className":1194},[724,725,726,727],[572,1196,1036],{"className":1197},[659,727],[572,1199],{"className":1200,"style":804},[803],[572,1202,618],{"className":1203},[808],[572,1205],{"className":1206,"style":804},[803],[572,1208,1210,1213],{"className":1209},[650],[572,1211],{"className":1212,"style":1005},[654],[572,1214,1060],{"className":1215},[659],[572,1217,1219],{"className":1218},[575],[572,1220,1222,1263],{"className":1221},[579],[572,1223,1225],{"className":1224},[583],[585,1226,1227],{"xmlns":587,"display":588},[590,1228,1229,1260],{},[593,1230,1231,1239,1241,1247,1249,1255,1257],{},[599,1232,1233,1236],{},[960,1234,1235],{},"0,5",[960,1237,1238],{},"4",[616,1240,1039],{},[599,1242,1243,1245],{},[960,1244,1238],{},[960,1246,1238],{},[616,1248,618],{},[599,1250,1251,1253],{},[960,1252,1033],{},[960,1254,1238],{},[616,1256,618],{},[960,1258,1259],{},"16",[639,1261,1262],{"encoding":641},"0{,}5^4 \\cdot 4^4 = 2^4 = 16",[572,1264,1266,1320,1364,1408],{"className":1265,"ariaHidden":625},[646],[572,1267,1269,1273,1276,1282,1311,1314,1317],{"className":1268},[650],[572,1270],{"className":1271,"style":1272},[654],"height:1.0585em;vertical-align:-0.1944em;",[572,1274,962],{"className":1275},[659],[572,1277,1279],{"className":1278},[659],[572,1280,953],{"className":1281},[982],[572,1283,1285,1288],{"className":1284},[659],[572,1286,1044],{"className":1287},[659],[572,1289,1291],{"className":1290},[703],[572,1292,1294],{"className":1293},[671],[572,1295,1297],{"className":1296},[676],[572,1298,1300],{"className":1299,"style":1073},[680],[572,1301,1302,1305],{"style":1094},[572,1303],{"className":1304,"style":720},[688],[572,1306,1308],{"className":1307},[724,725,726,727],[572,1309,1238],{"className":1310},[659,727],[572,1312],{"className":1313,"style":1107},[803],[572,1315,1039],{"className":1316},[1111],[572,1318],{"className":1319,"style":1107},[803],[572,1321,1323,1326,1355,1358,1361],{"className":1322},[650],[572,1324],{"className":1325,"style":1073},[654],[572,1327,1329,1332],{"className":1328},[659],[572,1330,1238],{"className":1331},[659],[572,1333,1335],{"className":1334},[703],[572,1336,1338],{"className":1337},[671],[572,1339,1341],{"className":1340},[676],[572,1342,1344],{"className":1343,"style":1073},[680],[572,1345,1346,1349],{"style":1094},[572,1347],{"className":1348,"style":720},[688],[572,1350,1352],{"className":1351},[724,725,726,727],[572,1353,1238],{"className":1354},[659,727],[572,1356],{"className":1357,"style":804},[803],[572,1359,618],{"className":1360},[808],[572,1362],{"className":1363,"style":804},[803],[572,1365,1367,1370,1399,1402,1405],{"className":1366},[650],[572,1368],{"className":1369,"style":1073},[654],[572,1371,1373,1376],{"className":1372},[659],[572,1374,1033],{"className":1375},[659],[572,1377,1379],{"className":1378},[703],[572,1380,1382],{"className":1381},[671],[572,1383,1385],{"className":1384},[676],[572,1386,1388],{"className":1387,"style":1073},[680],[572,1389,1390,1393],{"style":1094},[572,1391],{"className":1392,"style":720},[688],[572,1394,1396],{"className":1395},[724,725,726,727],[572,1397,1238],{"className":1398},[659,727],[572,1400],{"className":1401,"style":804},[803],[572,1403,618],{"className":1404},[808],[572,1406],{"className":1407,"style":804},[803],[572,1409,1411,1414],{"className":1410},[650],[572,1412],{"className":1413,"style":1005},[654],[572,1415,1259],{"className":1416},[659],[572,1418,1420],{"className":1419},[575],[572,1421,1423,1476],{"className":1422},[579],[572,1424,1426],{"className":1425},[583],[585,1427,1428],{"xmlns":587,"display":588},[590,1429,1430,1473],{},[593,1431,1432,1435,1437,1440,1446,1448,1454,1456,1462,1464,1467],{},[616,1433,626],{"stretchy":1434},"false",[960,1436,1036],{},[602,1438,1439],{},"x",[599,1441,1442,1444],{},[616,1443,635],{"stretchy":1434},[960,1445,1033],{},[616,1447,618],{},[599,1449,1450,1452],{},[960,1451,1036],{},[960,1453,1033],{},[616,1455,1039],{},[599,1457,1458,1460],{},[602,1459,1439],{},[960,1461,1033],{},[616,1463,618],{},[960,1465,1466],{},"9",[599,1468,1469,1471],{},[602,1470,1439],{},[960,1472,1033],{},[639,1474,1475],{"encoding":641},"(3x)^2 = 3^2 \\cdot x^2 = 9x^2",[572,1477,1479,1533,1577,1621],{"className":1478,"ariaHidden":625},[646],[572,1480,1482,1486,1489,1492,1495,1524,1527,1530],{"className":1481},[650],[572,1483],{"className":1484,"style":1485},[654],"height:1.1141em;vertical-align:-0.25em;",[572,1487,626],{"className":1488},[663],[572,1490,1036],{"className":1491},[659],[572,1493,1439],{"className":1494},[659,699],[572,1496,1498,1501],{"className":1497},[799],[572,1499,635],{"className":1500},[799],[572,1502,1504],{"className":1503},[703],[572,1505,1507],{"className":1506},[671],[572,1508,1510],{"className":1509},[676],[572,1511,1513],{"className":1512,"style":1073},[680],[572,1514,1515,1518],{"style":1094},[572,1516],{"className":1517,"style":720},[688],[572,1519,1521],{"className":1520},[724,725,726,727],[572,1522,1033],{"className":1523},[659,727],[572,1525],{"className":1526,"style":804},[803],[572,1528,618],{"className":1529},[808],[572,1531],{"className":1532,"style":804},[803],[572,1534,1536,1539,1568,1571,1574],{"className":1535},[650],[572,1537],{"className":1538,"style":1073},[654],[572,1540,1542,1545],{"className":1541},[659],[572,1543,1036],{"className":1544},[659],[572,1546,1548],{"className":1547},[703],[572,1549,1551],{"className":1550},[671],[572,1552,1554],{"className":1553},[676],[572,1555,1557],{"className":1556,"style":1073},[680],[572,1558,1559,1562],{"style":1094},[572,1560],{"className":1561,"style":720},[688],[572,1563,1565],{"className":1564},[724,725,726,727],[572,1566,1033],{"className":1567},[659,727],[572,1569],{"className":1570,"style":1107},[803],[572,1572,1039],{"className":1573},[1111],[572,1575],{"className":1576,"style":1107},[803],[572,1578,1580,1583,1612,1615,1618],{"className":1579},[650],[572,1581],{"className":1582,"style":1073},[654],[572,1584,1586,1589],{"className":1585},[659],[572,1587,1439],{"className":1588},[659,699],[572,1590,1592],{"className":1591},[703],[572,1593,1595],{"className":1594},[671],[572,1596,1598],{"className":1597},[676],[572,1599,1601],{"className":1600,"style":1073},[680],[572,1602,1603,1606],{"style":1094},[572,1604],{"className":1605,"style":720},[688],[572,1607,1609],{"className":1608},[724,725,726,727],[572,1610,1033],{"className":1611},[659,727],[572,1613],{"className":1614,"style":804},[803],[572,1616,618],{"className":1617},[808],[572,1619],{"className":1620,"style":804},[803],[572,1622,1624,1627,1630],{"className":1623},[650],[572,1625],{"className":1626,"style":1073},[654],[572,1628,1466],{"className":1629},[659],[572,1631,1633,1636],{"className":1632},[659],[572,1634,1439],{"className":1635},[659,699],[572,1637,1639],{"className":1638},[703],[572,1640,1642],{"className":1641},[671],[572,1643,1645],{"className":1644},[676],[572,1646,1648],{"className":1647,"style":1073},[680],[572,1649,1650,1653],{"style":1094},[572,1651],{"className":1652,"style":720},[688],[572,1654,1656],{"className":1655},[724,725,726,727],[572,1657,1033],{"className":1658},[659,727],[558,1660,1662],{"id":1661},"typische-fehler","Typische Fehler",[1664,1665,1666,1845,2080],"ul",{},[1667,1668,1669,1670,1009],"li",{},"Nur einen Faktor potenzieren: ",[572,1671,1673,1709],{"className":1672},[579],[572,1674,1676],{"className":1675},[583],[585,1677,1678],{"xmlns":587},[590,1679,1680,1706],{},[593,1681,1682,1684,1686,1688,1694,1698,1700],{},[616,1683,626],{"stretchy":1434},[960,1685,1036],{},[602,1687,1439],{},[599,1689,1690,1692],{},[616,1691,635],{"stretchy":1434},[960,1693,1033],{},[616,1695,1697],{"mathvariant":1696},"normal","≠",[960,1699,1036],{},[599,1701,1702,1704],{},[602,1703,1439],{},[960,1705,1033],{},[639,1707,1708],{"encoding":641},"(3x)^2 \\neq 3x^2",[572,1710,1712,1807],{"className":1711,"ariaHidden":625},[646],[572,1713,1715,1719,1722,1725,1728,1758,1761,1804],{"className":1714},[650],[572,1716],{"className":1717,"style":1718},[654],"height:1.0641em;vertical-align:-0.25em;",[572,1720,626],{"className":1721},[663],[572,1723,1036],{"className":1724},[659],[572,1726,1439],{"className":1727},[659,699],[572,1729,1731,1734],{"className":1730},[799],[572,1732,635],{"className":1733},[799],[572,1735,1737],{"className":1736},[703],[572,1738,1740],{"className":1739},[671],[572,1741,1743],{"className":1742},[676],[572,1744,1747],{"className":1745,"style":1746},[680],"height:0.8141em;",[572,1748,1749,1752],{"style":772},[572,1750],{"className":1751,"style":720},[688],[572,1753,1755],{"className":1754},[724,725,726,727],[572,1756,1033],{"className":1757},[659,727],[572,1759],{"className":1760,"style":804},[803],[572,1762,1764,1797,1801],{"className":1763},[808],[572,1765,1767],{"className":1766},[808],[572,1768,1771],{"className":1769},[659,1770],"vbox",[572,1772,1775],{"className":1773},[1774],"thinbox",[572,1776,1779,1782,1793],{"className":1777},[1778],"rlap",[572,1780],{"className":1781,"style":975},[654],[572,1783,1786],{"className":1784},[1785],"inner",[572,1787,1789],{"className":1788},[659],[572,1790,1792],{"className":1791},[808],"",[572,1794],{"className":1795},[1796],"fix",[572,1798],{"className":1799},[803,1800],"nobreak",[572,1802,618],{"className":1803},[808],[572,1805],{"className":1806,"style":804},[803],[572,1808,1810,1813,1816],{"className":1809},[650],[572,1811],{"className":1812,"style":1746},[654],[572,1814,1036],{"className":1815},[659],[572,1817,1819,1822],{"className":1818},[659],[572,1820,1439],{"className":1821},[659,699],[572,1823,1825],{"className":1824},[703],[572,1826,1828],{"className":1827},[671],[572,1829,1831],{"className":1830},[676],[572,1832,1834],{"className":1833,"style":1746},[680],[572,1835,1836,1839],{"style":772},[572,1837],{"className":1838,"style":720},[688],[572,1840,1842],{"className":1841},[724,725,726,727],[572,1843,1033],{"className":1844},[659,727],[1667,1846,1847,1848,2079],{},"Die Regel auf Summen übertragen: ",[572,1849,1851,1894],{"className":1850},[579],[572,1852,1854],{"className":1853},[583],[585,1855,1856],{"xmlns":587},[590,1857,1858,1891],{},[593,1859,1860,1862,1864,1867,1869,1875,1877,1883,1885],{},[616,1861,626],{"stretchy":1434},[602,1863,604],{},[616,1865,1866],{},"+",[602,1868,612],{},[599,1870,1871,1873],{},[616,1872,635],{"stretchy":1434},[960,1874,1033],{},[616,1876,1697],{"mathvariant":1696},[599,1878,1879,1881],{},[602,1880,604],{},[960,1882,1033],{},[616,1884,1866],{},[599,1886,1887,1889],{},[602,1888,612],{},[960,1890,1033],{},[639,1892,1893],{"encoding":641},"(a + b)^2 \\neq a^2 + b^2",[572,1895,1897,1919,1999,2044],{"className":1896,"ariaHidden":625},[646],[572,1898,1900,1904,1907,1910,1913,1916],{"className":1899},[650],[572,1901],{"className":1902,"style":1903},[654],"height:1em;vertical-align:-0.25em;",[572,1905,626],{"className":1906},[663],[572,1908,604],{"className":1909},[659,699],[572,1911],{"className":1912,"style":1107},[803],[572,1914,1866],{"className":1915},[1111],[572,1917],{"className":1918,"style":1107},[803],[572,1920,1922,1925,1928,1957,1960,1996],{"className":1921},[650],[572,1923],{"className":1924,"style":1718},[654],[572,1926,612],{"className":1927},[659,699],[572,1929,1931,1934],{"className":1930},[799],[572,1932,635],{"className":1933},[799],[572,1935,1937],{"className":1936},[703],[572,1938,1940],{"className":1939},[671],[572,1941,1943],{"className":1942},[676],[572,1944,1946],{"className":1945,"style":1746},[680],[572,1947,1948,1951],{"style":772},[572,1949],{"className":1950,"style":720},[688],[572,1952,1954],{"className":1953},[724,725,726,727],[572,1955,1033],{"className":1956},[659,727],[572,1958],{"className":1959,"style":804},[803],[572,1961,1963,1990,1993],{"className":1962},[808],[572,1964,1966],{"className":1965},[808],[572,1967,1969],{"className":1968},[659,1770],[572,1970,1972],{"className":1971},[1774],[572,1973,1975,1978,1987],{"className":1974},[1778],[572,1976],{"className":1977,"style":975},[654],[572,1979,1981],{"className":1980},[1785],[572,1982,1984],{"className":1983},[659],[572,1985,1792],{"className":1986},[808],[572,1988],{"className":1989},[1796],[572,1991],{"className":1992},[803,1800],[572,1994,618],{"className":1995},[808],[572,1997],{"className":1998,"style":804},[803],[572,2000,2002,2006,2035,2038,2041],{"className":2001},[650],[572,2003],{"className":2004,"style":2005},[654],"height:0.8974em;vertical-align:-0.0833em;",[572,2007,2009,2012],{"className":2008},[659],[572,2010,604],{"className":2011},[659,699],[572,2013,2015],{"className":2014},[703],[572,2016,2018],{"className":2017},[671],[572,2019,2021],{"className":2020},[676],[572,2022,2024],{"className":2023,"style":1746},[680],[572,2025,2026,2029],{"style":772},[572,2027],{"className":2028,"style":720},[688],[572,2030,2032],{"className":2031},[724,725,726,727],[572,2033,1033],{"className":2034},[659,727],[572,2036],{"className":2037,"style":1107},[803],[572,2039,1866],{"className":2040},[1111],[572,2042],{"className":2043,"style":1107},[803],[572,2045,2047,2050],{"className":2046},[650],[572,2048],{"className":2049,"style":1746},[654],[572,2051,2053,2056],{"className":2052},[659],[572,2054,612],{"className":2055},[659,699],[572,2057,2059],{"className":2058},[703],[572,2060,2062],{"className":2061},[671],[572,2063,2065],{"className":2064},[676],[572,2066,2068],{"className":2067,"style":1746},[680],[572,2069,2070,2073],{"style":772},[572,2071],{"className":2072,"style":720},[688],[572,2074,2076],{"className":2075},[724,725,726,727],[572,2077,1033],{"className":2078},[659,727]," (siehe binomische Formeln).",[1667,2081,2082,2083,1009],{},"Bei verschiedenen Exponenten anwenden: ",[572,2084,2086,2120],{"className":2085},[579],[572,2087,2089],{"className":2088},[583],[585,2090,2091],{"xmlns":587},[590,2092,2093,2117],{},[593,2094,2095,2101,2103,2109,2111],{},[599,2096,2097,2099],{},[960,2098,1033],{},[960,2100,1036],{},[616,2102,1039],{},[599,2104,2105,2107],{},[960,2106,1044],{},[960,2108,1033],{},[616,2110,1697],{"mathvariant":1696},[599,2112,2113,2115],{},[960,2114,1053],{},[960,2116,1044],{},[639,2118,2119],{"encoding":641},"2^3 \\cdot 5^2 \\neq 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