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Ausdruck ",[569,1038,1040,1058],{"className":1039},[572],[569,1041,1043],{"className":1042},[576],[578,1044,1045],{"xmlns":580},[582,1046,1047,1055],{},[585,1048,1049],{},[729,1050,1051,1053],{},[588,1052,590],{},[588,1054,590],{},[592,1056,1057],{"encoding":594},"0^0",[569,1059,1061],{"className":1060,"ariaHidden":599},[598],[569,1062,1064,1068],{"className":1063},[603],[569,1065],{"className":1066,"style":1067},[607],"height:0.8141em;",[569,1069,1071,1074],{"className":1070},[612],[569,1072,590],{"className":1073},[612],[569,1075,1077],{"className":1076},[811],[569,1078,1080],{"className":1079},[815],[569,1081,1083],{"className":1082},[819],[569,1084,1086],{"className":1085,"style":1067},[823],[569,1087,1089,1092],{"style":1088},"top:-3.063em;margin-right:0.05em;",[569,1090],{"className":1091,"style":831},[830],[569,1093,1095],{"className":1094},[835,836,837,838],[569,1096,590],{"className":1097},[612,838]," ist davon ausgenommen. In der Schule lässt man ihn meist ",[645,1100,1101],{},"undefiniert",". In vielen Gebieten (Kombinatorik, Potenzreihen, binomischer Lehrsatz) wird ",[569,1104,1106,1128],{"className":1105},[572],[569,1107,1109],{"className":1108},[576],[578,1110,1111],{"xmlns":580},[582,1112,1113,1125],{},[585,1114,1115,1121,1123],{},[729,1116,1117,1119],{},[588,1118,590],{},[588,1120,590],{},[737,1122,739],{},[588,1124,628],{},[592,1126,1127],{"encoding":594},"0^0 = 1",[569,1129,1131,1175],{"className":1130,"ariaHidden":599},[598],[569,1132,1134,1137,1166,1169,1172],{"className":1133},[603],[569,1135],{"className":1136,"style":1067},[607],[569,1138,1140,1143],{"className":1139},[612],[569,1141,590],{"className":1142},[612],[569,1144,1146],{"className":1145},[811],[569,1147,1149],{"className":1148},[815],[569,1150,1152],{"className":1151},[819],[569,1153,1155],{"className":1154,"style":1067},[823],[569,1156,1157,1160],{"style":1088},[569,1158],{"className":1159,"style":831},[830],[569,1161,1163],{"className":1162},[835,836,837,838],[569,1164,590],{"className":1165},[612,838],[569,1167],{"className":1168,"style":845},[747],[569,1170,739],{"className":1171},[849],[569,1173],{"className":1174,"style":845},[747],[569,1176,1178,1181],{"className":1177},[603],[569,1179],{"className":1180,"style":608},[607],[569,1182,628],{"className":1183},[612]," dagegen als ",[645,1186,1187],{},"Konvention"," festgelegt, weil sich Formeln dadurch einheitlich schreiben lassen. Als Grenzwert ist ",[569,1190,1192,1209],{"className":1191},[572],[569,1193,1195],{"className":1194},[576],[578,1196,1197],{"xmlns":580},[582,1198,1199,1207],{},[585,1200,1201],{},[729,1202,1203,1205],{},[588,1204,590],{},[588,1206,590],{},[592,1208,1057],{"encoding":594},[569,1210,1212],{"className":1211,"ariaHidden":599},[598],[569,1213,1215,1218],{"className":1214},[603],[569,1216],{"className":1217,"style":1067},[607],[569,1219,1221,1224],{"className":1220},[612],[569,1222,590],{"className":1223},[612],[569,1225,1227],{"className":1226},[811],[569,1228,1230],{"className":1229},[815],[569,1231,1233],{"className":1232},[819],[569,1234,1236],{"className":1235,"style":1067},[823],[569,1237,1238,1241],{"style":1088},[569,1239],{"className":1240,"style":831},[830],[569,1242,1244],{"className":1243},[835,836,837,838],[569,1245,590],{"className":1246},[612,838]," unbestimmt.",[560,1249,1251],{"id":1250},"herleitung","Herleitung",[565,1253,1254,1255,1283],{},"Teilt man eine Potenz durch sich selbst, kommt ",[569,1256,1258,1271],{"className":1257},[572],[569,1259,1261],{"className":1260},[576],[578,1262,1263],{"xmlns":580},[582,1264,1265,1269],{},[585,1266,1267],{},[588,1268,628],{},[592,1270,628],{"encoding":594},[569,1272,1274],{"className":1273,"ariaHidden":599},[598],[569,1275,1277,1280],{"className":1276},[603],[569,1278],{"className":1279,"style":608},[607],[569,1281,628],{"className":1282},[612]," heraus. Nach der Regel für die Division von Potenzen mit gleicher Basis werden dabei die Exponenten subtrahiert:",[569,1285,1287],{"className":1286},[714],[569,1288,1290,1370],{"className":1289},[572],[569,1291,1293],{"className":1292},[576],[578,1294,1295],{"xmlns":580,"display":723},[582,1296,1297,1367],{},[585,1298,1299,1317,1319,1321,1324,1328,1330,1344,1346,1359,1361],{},[1300,1301,1302,1311],"mfrac",{},[729,1303,1304,1308],{},[1305,1306,1307],"mi",{},"a",[1305,1309,1310],{},"n",[729,1312,1313,1315],{},[1305,1314,1307],{},[1305,1316,1310],{},[737,1318,739],{},[588,1320,628],{},[747,1322],{"width":1323},"2em",[1325,1326,1327],"mtext",{},"und",[747,1329],{"width":1323},[1300,1331,1332,1338],{},[729,1333,1334,1336],{},[1305,1335,1307],{},[1305,1337,1310],{},[729,1339,1340,1342],{},[1305,1341,1307],{},[1305,1343,1310],{},[737,1345,739],{},[729,1347,1348,1350],{},[1305,1349,1307],{},[585,1351,1352,1354,1357],{},[1305,1353,1310],{},[737,1355,1356],{},"−",[1305,1358,1310],{},[737,1360,739],{},[729,1362,1363,1365],{},[1305,1364,1307],{},[588,1366,590],{},[592,1368,1369],{"encoding":594},"\\frac{a^n}{a^n} = 1\n\\qquad\\text{und}\\qquad\n\\frac{a^n}{a^n} = a^{n-n} = a^0",[569,1371,1373,1521,1667,1722],{"className":1372,"ariaHidden":599},[598],[569,1374,1376,1380,1512,1515,1518],{"className":1375},[603],[569,1377],{"className":1378,"style":1379},[607],"height:2.0274em;vertical-align:-0.686em;",[569,1381,1383,1388,1508],{"className":1382},[612],[569,1384],{"className":1385},[1386,1387],"mopen","nulldelimiter",[569,1389,1391],{"className":1390},[1300],[569,1392,1395,1499],{"className":1393},[815,1394],"vlist-t2",[569,1396,1398,1494],{"className":1397},[819],[569,1399,1402,1444,1455],{"className":1400,"style":1401},[823],"height:1.3414em;",[569,1403,1405,1409],{"style":1404},"top:-2.314em;",[569,1406],{"className":1407,"style":1408},[830],"height:3em;",[569,1410,1412],{"className":1411},[612],[569,1413,1415,1419],{"className":1414},[612],[569,1416,1307],{"className":1417},[612,1418],"mathnormal",[569,1420,1422],{"className":1421},[811],[569,1423,1425],{"className":1424},[815],[569,1426,1428],{"className":1427},[819],[569,1429,1432],{"className":1430,"style":1431},[823],"height:0.5904em;",[569,1433,1435,1438],{"style":1434},"top:-2.989em;margin-right:0.05em;",[569,1436],{"className":1437,"style":831},[830],[569,1439,1441],{"className":1440},[835,836,837,838],[569,1442,1310],{"className":1443},[612,1418,838],[569,1445,1447,1450],{"style":1446},"top:-3.23em;",[569,1448],{"className":1449,"style":1408},[830],[569,1451],{"className":1452,"style":1454},[1453],"frac-line","border-bottom-width:0.04em;",[569,1456,1458,1461],{"style":1457},"top:-3.677em;",[569,1459],{"className":1460,"style":1408},[830],[569,1462,1464],{"className":1463},[612],[569,1465,1467,1470],{"className":1466},[612],[569,1468,1307],{"className":1469},[612,1418],[569,1471,1473],{"className":1472},[811],[569,1474,1476],{"className":1475},[815],[569,1477,1479],{"className":1478},[819],[569,1480,1483],{"className":1481,"style":1482},[823],"height:0.6644em;",[569,1484,1485,1488],{"style":1088},[569,1486],{"className":1487,"style":831},[830],[569,1489,1491],{"className":1490},[835,836,837,838],[569,1492,1310],{"className":1493},[612,1418,838],[569,1495,1498],{"className":1496},[1497],"vlist-s","​",[569,1500,1502],{"className":1501},[819],[569,1503,1506],{"className":1504,"style":1505},[823],"height:0.686em;",[569,1507],{},[569,1509],{"className":1510},[1511,1387],"mclose",[569,1513],{"className":1514,"style":845},[747],[569,1516,739],{"className":1517},[849],[569,1519],{"className":1520,"style":845},[747],[569,1522,1524,1527,1530,1534,1541,1544,1658,1661,1664],{"className":1523},[603],[569,1525],{"className":1526,"style":1379},[607],[569,1528,628],{"className":1529},[612],[569,1531],{"className":1532,"style":1533},[747],"margin-right:2em;",[569,1535,1538],{"className":1536},[612,1537],"text",[569,1539,1327],{"className":1540},[612],[569,1542],{"className":1543,"style":1533},[747],[569,1545,1547,1550,1655],{"className":1546},[612],[569,1548],{"className":1549},[1386,1387],[569,1551,1553],{"className":1552},[1300],[569,1554,1556,1647],{"className":1555},[815,1394],[569,1557,1559,1644],{"className":1558},[819],[569,1560,1562,1599,1607],{"className":1561,"style":1401},[823],[569,1563,1564,1567],{"style":1404},[569,1565],{"className":1566,"style":1408},[830],[569,1568,1570],{"className":1569},[612],[569,1571,1573,1576],{"className":1572},[612],[569,1574,1307],{"className":1575},[612,1418],[569,1577,1579],{"className":1578},[811],[569,1580,1582],{"className":1581},[815],[569,1583,1585],{"className":1584},[819],[569,1586,1588],{"className":1587,"style":1431},[823],[569,1589,1590,1593],{"style":1434},[569,1591],{"className":1592,"style":831},[830],[569,1594,1596],{"className":1595},[835,836,837,838],[569,1597,1310],{"className":1598},[612,1418,838],[569,1600,1601,1604],{"style":1446},[569,1602],{"className":1603,"style":1408},[830],[569,1605],{"className":1606,"style":1454},[1453],[569,1608,1609,1612],{"style":1457},[569,1610],{"className":1611,"style":1408},[830],[569,1613,1615],{"className":1614},[612],[569,1616,1618,1621],{"className":1617},[612],[569,1619,1307],{"className":1620},[612,1418],[569,1622,1624],{"className":1623},[811],[569,1625,1627],{"className":1626},[815],[569,1628,1630],{"className":1629},[819],[569,1631,1633],{"className":1632,"style":1482},[823],[569,1634,1635,1638],{"style":1088},[569,1636],{"className":1637,"style":831},[830],[569,1639,1641],{"className":1640},[835,836,837,838],[569,1642,1310],{"className":1643},[612,1418,838],[569,1645,1498],{"className":1646},[1497],[569,1648,1650],{"className":1649},[819],[569,1651,1653],{"className":1652,"style":1505},[823],[569,1654],{},[569,1656],{"className":1657},[1511,1387],[569,1659],{"className":1660,"style":845},[747],[569,1662,739],{"className":1663},[849],[569,1665],{"className":1666,"style":845},[747],[569,1668,1670,1674,1713,1716,1719],{"className":1669},[603],[569,1671],{"className":1672,"style":1673},[607],"height:0.8213em;",[569,1675,1677,1680],{"className":1676},[612],[569,1678,1307],{"className":1679},[612,1418],[569,1681,1683],{"className":1682},[811],[569,1684,1686],{"className":1685},[815],[569,1687,1689],{"className":1688},[819],[569,1690,1692],{"className":1691,"style":1673},[823],[569,1693,1694,1697],{"style":826},[569,1695],{"className":1696,"style":831},[830],[569,1698,1700],{"className":1699},[835,836,837,838],[569,1701,1703,1706,1710],{"className":1702},[612,838],[569,1704,1310],{"className":1705},[612,1418,838],[569,1707,1356],{"className":1708},[1709,838],"mbin",[569,1711,1310],{"className":1712},[612,1418,838],[569,1714],{"className":1715,"style":845},[747],[569,1717,739],{"className":1718},[849],[569,1720],{"className":1721,"style":845},[747],[569,1723,1725,1728],{"className":1724},[603],[569,1726],{"className":1727,"style":801},[607],[569,1729,1731,1734],{"className":1730},[612],[569,1732,1307],{"className":1733},[612,1418],[569,1735,1737],{"className":1736},[811],[569,1738,1740],{"className":1739},[815],[569,1741,1743],{"className":1742},[819],[569,1744,1746],{"className":1745,"style":801},[823],[569,1747,1748,1751],{"style":826},[569,1749],{"className":1750,"style":831},[830],[569,1752,1754],{"className":1753},[835,836,837,838],[569,1755,590],{"className":1756},[612,838],[565,1758,1759,1760,1841,1842,1894,1895,1976],{},"Damit das Potenzgesetz auch hier gilt, muss ",[569,1761,1763,1785],{"className":1762},[572],[569,1764,1766],{"className":1765},[576],[578,1767,1768],{"xmlns":580},[582,1769,1770,1782],{},[585,1771,1772,1778,1780],{},[729,1773,1774,1776],{},[1305,1775,1307],{},[588,1777,590],{},[737,1779,739],{},[588,1781,628],{},[592,1783,1784],{"encoding":594},"a^0 = 1",[569,1786,1788,1832],{"className":1787,"ariaHidden":599},[598],[569,1789,1791,1794,1823,1826,1829],{"className":1790},[603],[569,1792],{"className":1793,"style":1067},[607],[569,1795,1797,1800],{"className":1796},[612],[569,1798,1307],{"className":1799},[612,1418],[569,1801,1803],{"className":1802},[811],[569,1804,1806],{"className":1805},[815],[569,1807,1809],{"className":1808},[819],[569,1810,1812],{"className":1811,"style":1067},[823],[569,1813,1814,1817],{"style":1088},[569,1815],{"className":1816,"style":831},[830],[569,1818,1820],{"className":1819},[835,836,837,838],[569,1821,590],{"className":1822},[612,838],[569,1824],{"className":1825,"style":845},[747],[569,1827,739],{"className":1828},[849],[569,1830],{"className":1831,"style":845},[747],[569,1833,1835,1838],{"className":1834},[603],[569,1836],{"className":1837,"style":608},[607],[569,1839,628],{"className":1840},[612]," sein. Für ",[569,1843,1845,1863],{"className":1844},[572],[569,1846,1848],{"className":1847},[576],[578,1849,1850],{"xmlns":580},[582,1851,1852,1860],{},[585,1853,1854,1856,1858],{},[1305,1855,1307],{},[737,1857,739],{},[588,1859,590],{},[592,1861,1862],{"encoding":594},"a = 0",[569,1864,1866,1885],{"className":1865,"ariaHidden":599},[598],[569,1867,1869,1873,1876,1879,1882],{"className":1868},[603],[569,1870],{"className":1871,"style":1872},[607],"height:0.4306em;",[569,1874,1307],{"className":1875},[612,1418],[569,1877],{"className":1878,"style":845},[747],[569,1880,739],{"className":1881},[849],[569,1883],{"className":1884,"style":845},[747],[569,1886,1888,1891],{"className":1887},[603],[569,1889],{"className":1890,"style":608},[607],[569,1892,590],{"className":1893},[612]," funktioniert die Rechnung nicht, weil man nicht durch ",[569,1896,1898,1920],{"className":1897},[572],[569,1899,1901],{"className":1900},[576],[578,1902,1903],{"xmlns":580},[582,1904,1905,1917],{},[585,1906,1907,1913,1915],{},[729,1908,1909,1911],{},[588,1910,590],{},[1305,1912,1310],{},[737,1914,739],{},[588,1916,590],{},[592,1918,1919],{"encoding":594},"0^n = 0",[569,1921,1923,1967],{"className":1922,"ariaHidden":599},[598],[569,1924,1926,1929,1958,1961,1964],{"className":1925},[603],[569,1927],{"className":1928,"style":1482},[607],[569,1930,1932,1935],{"className":1931},[612],[569,1933,590],{"className":1934},[612],[569,1936,1938],{"className":1937},[811],[569,1939,1941],{"className":1940},[815],[569,1942,1944],{"className":1943},[819],[569,1945,1947],{"className":1946,"style":1482},[823],[569,1948,1949,1952],{"style":1088},[569,1950],{"className":1951,"style":831},[830],[569,1953,1955],{"className":1954},[835,836,837,838],[569,1956,1310],{"className":1957},[612,1418,838],[569,1959],{"className":1960,"style":845},[747],[569,1962,739],{"className":1963},[849],[569,1965],{"className":1966,"style":845},[747],[569,1968,1970,1973],{"className":1969},[603],[569,1971],{"className":1972,"style":608},[607],[569,1974,590],{"className":1975},[612]," teilen darf.",[560,1978,1980],{"id":1979},"beispiele","Beispiele",[569,1982,1984],{"className":1983},[714],[569,1985,1987,2061],{"className":1986},[572],[569,1988,1990],{"className":1989},[576],[578,1991,1992],{"xmlns":580,"display":723},[582,1993,1994,2058],{},[585,1995,1996,2003,2005,2007,2009,2011,2015,2017,2019,2026,2028,2030,2032,2034,2054,2056],{},[729,1997,1998,2001],{},[588,1999,2000],{},"7",[588,2002,590],{},[737,2004,739],{},[588,2006,628],{},[737,2008,745],{"separator":599},[747,2010],{"width":1323},[737,2012,2014],{"stretchy":2013},"false","(",[737,2016,1356],{},[588,2018,735],{},[729,2020,2021,2024],{},[737,2022,2023],{"stretchy":2013},")",[588,2025,590],{},[737,2027,739],{},[588,2029,628],{},[737,2031,745],{"separator":599},[747,2033],{"width":1323},[729,2035,2036,2052],{},[585,2037,2038,2040,2050],{},[737,2039,2014],{"fence":599},[2041,2042,2043],"mstyle",{"scriptlevel":590,"displaystyle":2013},[1300,2044,2045,2047],{},[588,2046,695],{},[588,2048,2049],{},"5",[737,2051,2023],{"fence":599},[588,2053,590],{},[737,2055,739],{},[588,2057,628],{},[592,2059,2060],{"encoding":594},"7^0 = 1, \\qquad (-3)^0 = 1, \\qquad \\left(\\tfrac{2}{5}\\right)^0 = 1",[569,2062,2064,2108,2174,2322],{"className":2063,"ariaHidden":599},[598],[569,2065,2067,2070,2099,2102,2105],{"className":2066},[603],[569,2068],{"className":2069,"style":801},[607],[569,2071,2073,2076],{"className":2072},[612],[569,2074,2000],{"className":2075},[612],[569,2077,2079],{"className":2078},[811],[569,2080,2082],{"className":2081},[815],[569,2083,2085],{"className":2084},[819],[569,2086,2088],{"className":2087,"style":801},[823],[569,2089,2090,2093],{"style":826},[569,2091],{"className":2092,"style":831},[830],[569,2094,2096],{"className":2095},[835,836,837,838],[569,2097,590],{"className":2098},[612,838],[569,2100],{"className":2101,"style":845},[747],[569,2103,739],{"className":2104},[849],[569,2106],{"className":2107,"style":845},[747],[569,2109,2111,2115,2118,2121,2124,2127,2130,2133,2136,2165,2168,2171],{"className":2110},[603],[569,2112],{"className":2113,"style":2114},[607],"height:1.1141em;vertical-align:-0.25em;",[569,2116,628],{"className":2117},[612],[569,2119,745],{"className":2120},[866],[569,2122],{"className":2123,"style":1533},[747],[569,2125],{"className":2126,"style":874},[747],[569,2128,2014],{"className":2129},[1386],[569,2131,1356],{"className":2132},[612],[569,2134,735],{"className":2135},[612],[569,2137,2139,2142],{"className":2138},[1511],[569,2140,2023],{"className":2141},[1511],[569,2143,2145],{"className":2144},[811],[569,2146,2148],{"className":2147},[815],[569,2149,2151],{"className":2150},[819],[569,2152,2154],{"className":2153,"style":801},[823],[569,2155,2156,2159],{"style":826},[569,2157],{"className":2158,"style":831},[830],[569,2160,2162],{"className":2161},[835,836,837,838],[569,2163,590],{"className":2164},[612,838],[569,2166],{"className":2167,"style":845},[747],[569,2169,739],{"className":2170},[849],[569,2172],{"className":2173,"style":845},[747],[569,2175,2177,2181,2184,2187,2190,2193,2313,2316,2319],{"className":2176},[603],[569,2178],{"className":2179,"style":2180},[607],"height:1.404em;vertical-align:-0.35em;",[569,2182,628],{"className":2183},[612],[569,2185,745],{"className":2186},[866],[569,2188],{"className":2189,"style":1533},[747],[569,2191],{"className":2192,"style":874},[747],[569,2194,2197,2288],{"className":2195},[2196],"minner",[569,2198,2200,2210,2282],{"className":2199},[2196],[569,2201,2205],{"className":2202,"style":2204},[1386,2203],"delimcenter","top:0em;",[569,2206,2014],{"className":2207},[2208,2209],"delimsizing","size1",[569,2211,2213,2216,2279],{"className":2212},[612],[569,2214],{"className":2215},[1386,1387],[569,2217,2219],{"className":2218},[1300],[569,2220,2222,2270],{"className":2221},[815,1394],[569,2223,2225,2267],{"className":2224},[819],[569,2226,2229,2244,2252],{"className":2227,"style":2228},[823],"height:0.8451em;",[569,2230,2232,2235],{"style":2231},"top:-2.655em;",[569,2233],{"className":2234,"style":1408},[830],[569,2236,2238],{"className":2237},[835,836,837,838],[569,2239,2241],{"className":2240},[612,838],[569,2242,2049],{"className":2243},[612,838],[569,2245,2246,2249],{"style":1446},[569,2247],{"className":2248,"style":1408},[830],[569,2250],{"className":2251,"style":1454},[1453],[569,2253,2255,2258],{"style":2254},"top:-3.394em;",[569,2256],{"className":2257,"style":1408},[830],[569,2259,2261],{"className":2260},[835,836,837,838],[569,2262,2264],{"className":2263},[612,838],[569,2265,695],{"className":2266},[612,838],[569,2268,1498],{"className":2269},[1497],[569,2271,2273],{"className":2272},[819],[569,2274,2277],{"className":2275,"style":2276},[823],"height:0.345em;",[569,2278],{},[569,2280],{"className":2281},[1511,1387],[569,2283,2285],{"className":2284,"style":2204},[1511,2203],[569,2286,2023],{"className":2287},[2208,2209],[569,2289,2291],{"className":2290},[811],[569,2292,2294],{"className":2293},[815],[569,2295,2297],{"className":2296},[819],[569,2298,2301],{"className":2299,"style":2300},[823],"height:1.054em;",[569,2302,2304,2307],{"style":2303},"top:-3.3029em;margin-right:0.05em;",[569,2305],{"className":2306,"style":831},[830],[569,2308,2310],{"className":2309},[835,836,837,838],[569,2311,590],{"className":2312},[612,838],[569,2314],{"className":2315,"style":845},[747],[569,2317,739],{"className":2318},[849],[569,2320],{"className":2321,"style":845},[747],[569,2323,2325,2328],{"className":2324},[603],[569,2326],{"className":2327,"style":608},[607],[569,2329,628],{"className":2330},[612],[565,2332,2333,2334,2419,2420,2448,2449,2477,2478,710],{},"Der Term ",[569,2335,2337,2361],{"className":2336},[572],[569,2338,2340],{"className":2339},[576],[578,2341,2342],{"xmlns":580},[582,2343,2344,2358],{},[585,2345,2346,2353,2356],{},[729,2347,2348,2351],{},[1305,2349,2350],{},"x",[588,2352,695],{},[737,2354,2355],{},"+",[588,2357,628],{},[592,2359,2360],{"encoding":594},"x^2 + 1",[569,2362,2364,2410],{"className":2363,"ariaHidden":599},[598],[569,2365,2367,2371,2400,2404,2407],{"className":2366},[603],[569,2368],{"className":2369,"style":2370},[607],"height:0.8974em;vertical-align:-0.0833em;",[569,2372,2374,2377],{"className":2373},[612],[569,2375,2350],{"className":2376},[612,1418],[569,2378,2380],{"className":2379},[811],[569,2381,2383],{"className":2382},[815],[569,2384,2386],{"className":2385},[819],[569,2387,2389],{"className":2388,"style":1067},[823],[569,2390,2391,2394],{"style":1088},[569,2392],{"className":2393,"style":831},[830],[569,2395,2397],{"className":2396},[835,836,837,838],[569,2398,695],{"className":2399},[612,838],[569,2401],{"className":2402,"style":2403},[747],"margin-right:0.2222em;",[569,2405,2355],{"className":2406},[1709],[569,2408],{"className":2409,"style":2403},[747],[569,2411,2413,2416],{"className":2412},[603],[569,2414],{"className":2415,"style":608},[607],[569,2417,628],{"className":2418},[612]," ist für jedes ",[569,2421,2423,2436],{"className":2422},[572],[569,2424,2426],{"className":2425},[576],[578,2427,2428],{"xmlns":580},[582,2429,2430,2434],{},[585,2431,2432],{},[1305,2433,2350],{},[592,2435,2350],{"encoding":594},[569,2437,2439],{"className":2438,"ariaHidden":599},[598],[569,2440,2442,2445],{"className":2441},[603],[569,2443],{"className":2444,"style":1872},[607],[569,2446,2350],{"className":2447},[612,1418]," mindestens ",[569,2450,2452,2465],{"className":2451},[572],[569,2453,2455],{"className":2454},[576],[578,2456,2457],{"xmlns":580},[582,2458,2459,2463],{},[585,2460,2461],{},[588,2462,628],{},[592,2464,628],{"encoding":594},[569,2466,2468],{"className":2467,"ariaHidden":599},[598],[569,2469,2471,2474],{"className":2470},[603],[569,2472],{"className":2473,"style":608},[607],[569,2475,628],{"className":2476},[612],", also nie null. Deshalb gilt für alle ",[569,2479,2481,2494],{"className":2480},[572],[569,2482,2484],{"className":2483},[576],[578,2485,2486],{"xmlns":580},[582,2487,2488,2492],{},[585,2489,2490],{},[1305,2491,2350],{},[592,2493,2350],{"encoding":594},[569,2495,2497],{"className":2496,"ariaHidden":599},[598],[569,2498,2500,2503],{"className":2499},[603],[569,2501],{"className":2502,"style":1872},[607],[569,2504,2350],{"className":2505},[612,1418],[569,2507,2509],{"className":2508},[714],[569,2510,2512,2546],{"className":2511},[572],[569,2513,2515],{"className":2514},[576],[578,2516,2517],{"xmlns":580,"display":723},[582,2518,2519,2543],{},[585,2520,2521,2523,2529,2531,2533,2539,2541],{},[737,2522,2014],{"stretchy":2013},[729,2524,2525,2527],{},[1305,2526,2350],{},[588,2528,695],{},[737,2530,2355],{},[588,2532,628],{},[729,2534,2535,2537],{},[737,2536,2023],{"stretchy":2013},[588,2538,590],{},[737,2540,739],{},[588,2542,628],{},[592,2544,2545],{"encoding":594},"(x^2 + 1)^0 = 1",[569,2547,2549,2596,2643],{"className":2548,"ariaHidden":599},[598],[569,2550,2552,2555,2558,2587,2590,2593],{"className":2551},[603],[569,2553],{"className":2554,"style":2114},[607],[569,2556,2014],{"className":2557},[1386],[569,2559,2561,2564],{"className":2560},[612],[569,2562,2350],{"className":2563},[612,1418],[569,2565,2567],{"className":2566},[811],[569,2568,2570],{"className":2569},[815],[569,2571,2573],{"className":2572},[819],[569,2574,2576],{"className":2575,"style":801},[823],[569,2577,2578,2581],{"style":826},[569,2579],{"className":2580,"style":831},[830],[569,2582,2584],{"className":2583},[835,836,837,838],[569,2585,695],{"className":2586},[612,838],[569,2588],{"className":2589,"style":2403},[747],[569,2591,2355],{"className":2592},[1709],[569,2594],{"className":2595,"style":2403},[747],[569,2597,2599,2602,2605,2634,2637,2640],{"className":2598},[603],[569,2600],{"className":2601,"style":2114},[607],[569,2603,628],{"className":2604},[612],[569,2606,2608,2611],{"className":2607},[1511],[569,2609,2023],{"className":2610},[1511],[569,2612,2614],{"className":2613},[811],[569,2615,2617],{"className":2616},[815],[569,2618,2620],{"className":2619},[819],[569,2621,2623],{"className":2622,"style":801},[823],[569,2624,2625,2628],{"style":826},[569,2626],{"className":2627,"style":831},[830],[569,2629,2631],{"className":2630},[835,836,837,838],[569,2632,590],{"className":2633},[612,838],[569,2635],{"className":2636,"style":845},[747],[569,2638,739],{"className":2639},[849],[569,2641],{"className":2642,"style":845},[747],[569,2644,2646,2649],{"className":2645},[603],[569,2647],{"className":2648,"style":608},[607],[569,2650,628],{"className":2651},[612],[565,2653,2654],{},"Ein Faktor vor der Potenz bleibt stehen:",[569,2656,2658],{"className":2657},[714],[569,2659,2661,2710],{"className":2660},[572],[569,2662,2664],{"className":2663},[576],[578,2665,2666],{"xmlns":580,"display":723},[582,2667,2668,2707],{},[585,2669,2670,2672,2675,2681,2683,2685,2687,2689,2691,2693,2695,2697,2699,2703,2705],{},[588,2671,760],{},[737,2673,2674],{},"⋅",[729,2676,2677,2679],{},[1305,2678,2350],{},[588,2680,590],{},[737,2682,739],{},[588,2684,760],{},[737,2686,2674],{},[588,2688,628],{},[737,2690,739],{},[588,2692,760],{},[747,2694],{"width":1323},[737,2696,2014],{"stretchy":2013},[1305,2698,2350],{},[737,2700,2702],{"mathvariant":2701},"normal","≠",[588,2704,590],{},[737,2706,2023],{"stretchy":2013},[592,2708,2709],{"encoding":594},"4 \\cdot x^0 = 4 \\cdot 1 = 4 \\qquad (x \\neq 0)",[569,2711,2713,2731,2775,2793,2811,2880],{"className":2712,"ariaHidden":599},[598],[569,2714,2716,2719,2722,2725,2728],{"className":2715},[603],[569,2717],{"className":2718,"style":608},[607],[569,2720,760],{"className":2721},[612],[569,2723],{"className":2724,"style":2403},[747],[569,2726,2674],{"className":2727},[1709],[569,2729],{"className":2730,"style":2403},[747],[569,2732,2734,2737,2766,2769,2772],{"className":2733},[603],[569,2735],{"className":2736,"style":801},[607],[569,2738,2740,2743],{"className":2739},[612],[569,2741,2350],{"className":2742},[612,1418],[569,2744,2746],{"className":2745},[811],[569,2747,2749],{"className":2748},[815],[569,2750,2752],{"className":2751},[819],[569,2753,2755],{"className":2754,"style":801},[823],[569,2756,2757,2760],{"style":826},[569,2758],{"className":2759,"style":831},[830],[569,2761,2763],{"className":2762},[835,836,837,838],[569,2764,590],{"className":2765},[612,838],[569,2767],{"className":2768,"style":845},[747],[569,2770,739],{"className":2771},[849],[569,2773],{"className":2774,"style":845},[747],[569,2776,2778,2781,2784,2787,2790],{"className":2777},[603],[569,2779],{"className":2780,"style":608},[607],[569,2782,760],{"className":2783},[612],[569,2785],{"className":2786,"style":2403},[747],[569,2788,2674],{"className":2789},[1709],[569,2791],{"className":2792,"style":2403},[747],[569,2794,2796,2799,2802,2805,2808],{"className":2795},[603],[569,2797],{"className":2798,"style":608},[607],[569,2800,628],{"className":2801},[612],[569,2803],{"className":2804,"style":845},[747],[569,2806,739],{"className":2807},[849],[569,2809],{"className":2810,"style":845},[747],[569,2812,2814,2818,2821,2824,2827,2830,2833,2877],{"className":2813},[603],[569,2815],{"className":2816,"style":2817},[607],"height:1em;vertical-align:-0.25em;",[569,2819,760],{"className":2820},[612],[569,2822],{"className":2823,"style":1533},[747],[569,2825,2014],{"className":2826},[1386],[569,2828,2350],{"className":2829},[612,1418],[569,2831],{"className":2832,"style":845},[747],[569,2834,2836,2870,2874],{"className":2835},[849],[569,2837,2839],{"className":2838},[849],[569,2840,2843],{"className":2841},[612,2842],"vbox",[569,2844,2847],{"className":2845},[2846],"thinbox",[569,2848,2851,2855,2866],{"className":2849},[2850],"rlap",[569,2852],{"className":2853,"style":2854},[607],"height:0.8889em;vertical-align:-0.1944em;",[569,2856,2859],{"className":2857},[2858],"inner",[569,2860,2862],{"className":2861},[612],[569,2863,2865],{"className":2864},[849],"",[569,2867],{"className":2868},[2869],"fix",[569,2871],{"className":2872},[747,2873],"nobreak",[569,2875,739],{"className":2876},[849],[569,2878],{"className":2879,"style":845},[747],[569,2881,2883,2886,2889],{"className":2882},[603],[569,2884],{"className":2885,"style":2817},[607],[569,2887,590],{"className":2888},[612],[569,2890,2023],{"className":2891},[1511],[560,2893,2895],{"id":2894},"typische-fehler","Typische Fehler",[2897,2898,2899,3147,3407,3629],"ul",{},[2900,2901,2902,2983,2984,3065,3066,3146],"li",{},[569,2903,2905,2927],{"className":2904},[572],[569,2906,2908],{"className":2907},[576],[578,2909,2910],{"xmlns":580},[582,2911,2912,2924],{},[585,2913,2914,2920,2922],{},[729,2915,2916,2918],{},[1305,2917,1307],{},[588,2919,590],{},[737,2921,739],{},[588,2923,590],{},[592,2925,2926],{"encoding":594},"a^0 = 0",[569,2928,2930,2974],{"className":2929,"ariaHidden":599},[598],[569,2931,2933,2936,2965,2968,2971],{"className":2932},[603],[569,2934],{"className":2935,"style":1067},[607],[569,2937,2939,2942],{"className":2938},[612],[569,2940,1307],{"className":2941},[612,1418],[569,2943,2945],{"className":2944},[811],[569,2946,2948],{"className":2947},[815],[569,2949,2951],{"className":2950},[819],[569,2952,2954],{"className":2953,"style":1067},[823],[569,2955,2956,2959],{"style":1088},[569,2957],{"className":2958,"style":831},[830],[569,2960,2962],{"className":2961},[835,836,837,838],[569,2963,590],{"className":2964},[612,838],[569,2966],{"className":2967,"style":845},[747],[569,2969,739],{"className":2970},[849],[569,2972],{"className":2973,"style":845},[747],[569,2975,2977,2980],{"className":2976},[603],[569,2978],{"className":2979,"style":608},[607],[569,2981,590],{"className":2982},[612]," oder ",[569,2985,2987,3009],{"className":2986},[572],[569,2988,2990],{"className":2989},[576],[578,2991,2992],{"xmlns":580},[582,2993,2994,3006],{},[585,2995,2996,3002,3004],{},[729,2997,2998,3000],{},[1305,2999,1307],{},[588,3001,590],{},[737,3003,739],{},[1305,3005,1307],{},[592,3007,3008],{"encoding":594},"a^0 = a",[569,3010,3012,3056],{"className":3011,"ariaHidden":599},[598],[569,3013,3015,3018,3047,3050,3053],{"className":3014},[603],[569,3016],{"className":3017,"style":1067},[607],[569,3019,3021,3024],{"className":3020},[612],[569,3022,1307],{"className":3023},[612,1418],[569,3025,3027],{"className":3026},[811],[569,3028,3030],{"className":3029},[815],[569,3031,3033],{"className":3032},[819],[569,3034,3036],{"className":3035,"style":1067},[823],[569,3037,3038,3041],{"style":1088},[569,3039],{"className":3040,"style":831},[830],[569,3042,3044],{"className":3043},[835,836,837,838],[569,3045,590],{"className":3046},[612,838],[569,3048],{"className":3049,"style":845},[747],[569,3051,739],{"className":3052},[849],[569,3054],{"className":3055,"style":845},[747],[569,3057,3059,3062],{"className":3058},[603],[569,3060],{"className":3061,"style":1872},[607],[569,3063,1307],{"className":3064},[612,1418]," annehmen. Richtig ist ",[569,3067,3069,3090],{"className":3068},[572],[569,3070,3072],{"className":3071},[576],[578,3073,3074],{"xmlns":580},[582,3075,3076,3088],{},[585,3077,3078,3084,3086],{},[729,3079,3080,3082],{},[1305,3081,1307],{},[588,3083,590],{},[737,3085,739],{},[588,3087,628],{},[592,3089,1784],{"encoding":594},[569,3091,3093,3137],{"className":3092,"ariaHidden":599},[598],[569,3094,3096,3099,3128,3131,3134],{"className":3095},[603],[569,3097],{"className":3098,"style":1067},[607],[569,3100,3102,3105],{"className":3101},[612],[569,3103,1307],{"className":3104},[612,1418],[569,3106,3108],{"className":3107},[811],[569,3109,3111],{"className":3110},[815],[569,3112,3114],{"className":3113},[819],[569,3115,3117],{"className":3116,"style":1067},[823],[569,3118,3119,3122],{"style":1088},[569,3120],{"className":3121,"style":831},[830],[569,3123,3125],{"className":3124},[835,836,837,838],[569,3126,590],{"className":3127},[612,838],[569,3129],{"className":3130,"style":845},[747],[569,3132,739],{"className":3133},[849],[569,3135],{"className":3136,"style":845},[747],[569,3138,3140,3143],{"className":3139},[603],[569,3141],{"className":3142,"style":608},[607],[569,3144,628],{"className":3145},[612],".",[2900,3148,3149,3150,3310,3311,3146],{},"Klammern übersehen: ",[569,3151,3153,3193],{"className":3152},[572],[569,3154,3156],{"className":3155},[576],[578,3157,3158],{"xmlns":580},[582,3159,3160,3190],{},[585,3161,3162,3164,3170,3172,3174,3176,3182,3184,3186,3188],{},[737,3163,1356],{},[729,3165,3166,3168],{},[588,3167,735],{},[588,3169,590],{},[737,3171,739],{},[737,3173,1356],{},[737,3175,2014],{"stretchy":2013},[729,3177,3178,3180],{},[588,3179,735],{},[588,3181,590],{},[737,3183,2023],{"stretchy":2013},[737,3185,739],{},[737,3187,1356],{},[588,3189,628],{},[592,3191,3192],{"encoding":594},"-3^0 = -(3^0) = -1",[569,3194,3196,3243,3297],{"className":3195,"ariaHidden":599},[598],[569,3197,3199,3202,3205,3234,3237,3240],{"className":3198},[603],[569,3200],{"className":3201,"style":2370},[607],[569,3203,1356],{"className":3204},[612],[569,3206,3208,3211],{"className":3207},[612],[569,3209,735],{"className":3210},[612],[569,3212,3214],{"className":3213},[811],[569,3215,3217],{"className":3216},[815],[569,3218,3220],{"className":3219},[819],[569,3221,3223],{"className":3222,"style":1067},[823],[569,3224,3225,3228],{"style":1088},[569,3226],{"className":3227,"style":831},[830],[569,3229,3231],{"className":3230},[835,836,837,838],[569,3232,590],{"className":3233},[612,838],[569,3235],{"className":3236,"style":845},[747],[569,3238,739],{"className":3239},[849],[569,3241],{"className":3242,"style":845},[747],[569,3244,3246,3250,3253,3256,3285,3288,3291,3294],{"className":3245},[603],[569,3247],{"className":3248,"style":3249},[607],"height:1.0641em;vertical-align:-0.25em;",[569,3251,1356],{"className":3252},[612],[569,3254,2014],{"className":3255},[1386],[569,3257,3259,3262],{"className":3258},[612],[569,3260,735],{"className":3261},[612],[569,3263,3265],{"className":3264},[811],[569,3266,3268],{"className":3267},[815],[569,3269,3271],{"className":3270},[819],[569,3272,3274],{"className":3273,"style":1067},[823],[569,3275,3276,3279],{"style":1088},[569,3277],{"className":3278,"style":831},[830],[569,3280,3282],{"className":3281},[835,836,837,838],[569,3283,590],{"className":3284},[612,838],[569,3286,2023],{"className":3287},[1511],[569,3289],{"className":3290,"style":845},[747],[569,3292,739],{"className":3293},[849],[569,3295],{"className":3296,"style":845},[747],[569,3298,3300,3304,3307],{"className":3299},[603],[569,3301],{"className":3302,"style":3303},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,3305,1356],{"className":3306},[612],[569,3308,628],{"className":3309},[612],", aber ",[569,3312,3314,3342],{"className":3313},[572],[569,3315,3317],{"className":3316},[576],[578,3318,3319],{"xmlns":580},[582,3320,3321,3339],{},[585,3322,3323,3325,3327,3329,3335,3337],{},[737,3324,2014],{"stretchy":2013},[737,3326,1356],{},[588,3328,735],{},[729,3330,3331,3333],{},[737,3332,2023],{"stretchy":2013},[588,3334,590],{},[737,3336,739],{},[588,3338,628],{},[592,3340,3341],{"encoding":594},"(-3)^0 = 1",[569,3343,3345,3398],{"className":3344,"ariaHidden":599},[598],[569,3346,3348,3351,3354,3357,3360,3389,3392,3395],{"className":3347},[603],[569,3349],{"className":3350,"style":3249},[607],[569,3352,2014],{"className":3353},[1386],[569,3355,1356],{"className":3356},[612],[569,3358,735],{"className":3359},[612],[569,3361,3363,3366],{"className":3362},[1511],[569,3364,2023],{"className":3365},[1511],[569,3367,3369],{"className":3368},[811],[569,3370,3372],{"className":3371},[815],[569,3373,3375],{"className":3374},[819],[569,3376,3378],{"className":3377,"style":1067},[823],[569,3379,3380,3383],{"style":1088},[569,3381],{"className":3382,"style":831},[830],[569,3384,3386],{"className":3385},[835,836,837,838],[569,3387,590],{"className":3388},[612,838],[569,3390],{"className":3391,"style":845},[747],[569,3393,739],{"className":3394},[849],[569,3396],{"className":3397,"style":845},[747],[569,3399,3401,3404],{"className":3400},[603],[569,3402],{"className":3403,"style":608},[607],[569,3405,628],{"className":3406},[612],[2900,3408,3409,3410,3496,3497,3525,3526,3600,3601,3146],{},"Den Faktor mit potenzieren: ",[569,3411,3413,3437],{"className":3412},[572],[569,3414,3416],{"className":3415},[576],[578,3417,3418],{"xmlns":580},[582,3419,3420,3434],{},[585,3421,3422,3424,3430,3432],{},[588,3423,760],{},[729,3425,3426,3428],{},[1305,3427,2350],{},[588,3429,590],{},[737,3431,739],{},[588,3433,760],{},[592,3435,3436],{"encoding":594},"4x^0 = 4",[569,3438,3440,3487],{"className":3439,"ariaHidden":599},[598],[569,3441,3443,3446,3449,3478,3481,3484],{"className":3442},[603],[569,3444],{"className":3445,"style":1067},[607],[569,3447,760],{"className":3448},[612],[569,3450,3452,3455],{"className":3451},[612],[569,3453,2350],{"className":3454},[612,1418],[569,3456,3458],{"className":3457},[811],[569,3459,3461],{"className":3460},[815],[569,3462,3464],{"className":3463},[819],[569,3465,3467],{"className":3466,"style":1067},[823],[569,3468,3469,3472],{"style":1088},[569,3470],{"className":3471,"style":831},[830],[569,3473,3475],{"className":3474},[835,836,837,838],[569,3476,590],{"className":3477},[612,838],[569,3479],{"className":3480,"style":845},[747],[569,3482,739],{"className":3483},[849],[569,3485],{"className":3486,"style":845},[747],[569,3488,3490,3493],{"className":3489},[603],[569,3491],{"className":3492,"style":608},[607],[569,3494,760],{"className":3495},[612],", nicht ",[569,3498,3500,3513],{"className":3499},[572],[569,3501,3503],{"className":3502},[576],[578,3504,3505],{"xmlns":580},[582,3506,3507,3511],{},[585,3508,3509],{},[588,3510,628],{},[592,3512,628],{"encoding":594},[569,3514,3516],{"className":3515,"ariaHidden":599},[598],[569,3517,3519,3522],{"className":3518},[603],[569,3520],{"className":3521,"style":608},[607],[569,3523,628],{"className":3524},[612],". Nur ",[569,3527,3529,3553],{"className":3528},[572],[569,3530,3532],{"className":3531},[576],[578,3533,3534],{"xmlns":580},[582,3535,3536,3550],{},[585,3537,3538,3540,3542,3544],{},[737,3539,2014],{"stretchy":2013},[588,3541,760],{},[1305,3543,2350],{},[729,3545,3546,3548],{},[737,3547,2023],{"stretchy":2013},[588,3549,590],{},[592,3551,3552],{"encoding":594},"(4x)^0",[569,3554,3556],{"className":3555,"ariaHidden":599},[598],[569,3557,3559,3562,3565,3568,3571],{"className":3558},[603],[569,3560],{"className":3561,"style":3249},[607],[569,3563,2014],{"className":3564},[1386],[569,3566,760],{"className":3567},[612],[569,3569,2350],{"className":3570},[612,1418],[569,3572,3574,3577],{"className":3573},[1511],[569,3575,2023],{"className":3576},[1511],[569,3578,3580],{"className":3579},[811],[569,3581,3583],{"className":3582},[815],[569,3584,3586],{"className":3585},[819],[569,3587,3589],{"className":3588,"style":1067},[823],[569,3590,3591,3594],{"style":1088},[569,3592],{"className":3593,"style":831},[830],[569,3595,3597],{"className":3596},[835,836,837,838],[569,3598,590],{"className":3599},[612,838]," ist ",[569,3602,3604,3617],{"className":3603},[572],[569,3605,3607],{"className":3606},[576],[578,3608,3609],{"xmlns":580},[582,3610,3611,3615],{},[585,3612,3613],{},[588,3614,628],{},[592,3616,628],{"encoding":594},[569,3618,3620],{"className":3619,"ariaHidden":599},[598],[569,3621,3623,3626],{"className":3622},[603],[569,3624],{"className":3625,"style":608},[607],[569,3627,628],{"className":3628},[612],[2900,3630,3631,3632,3660,3661,3741,3742,3800],{},"Die Regel auf die Basis ",[569,3633,3635,3648],{"className":3634},[572],[569,3636,3638],{"className":3637},[576],[578,3639,3640],{"xmlns":580},[582,3641,3642,3646],{},[585,3643,3644],{},[588,3645,590],{},[592,3647,590],{"encoding":594},[569,3649,3651],{"className":3650,"ariaHidden":599},[598],[569,3652,3654,3657],{"className":3653},[603],[569,3655],{"className":3656,"style":608},[607],[569,3658,590],{"className":3659},[612]," übertragen. ",[569,3662,3664,3685],{"className":3663},[572],[569,3665,3667],{"className":3666},[576],[578,3668,3669],{"xmlns":580},[582,3670,3671,3683],{},[585,3672,3673,3679,3681],{},[729,3674,3675,3677],{},[588,3676,590],{},[588,3678,590],{},[737,3680,739],{},[588,3682,628],{},[592,3684,1127],{"encoding":594},[569,3686,3688,3732],{"className":3687,"ariaHidden":599},[598],[569,3689,3691,3694,3723,3726,3729],{"className":3690},[603],[569,3692],{"className":3693,"style":1067},[607],[569,3695,3697,3700],{"className":3696},[612],[569,3698,590],{"className":3699},[612],[569,3701,3703],{"className":3702},[811],[569,3704,3706],{"className":3705},[815],[569,3707,3709],{"className":3708},[819],[569,3710,3712],{"className":3711,"style":1067},[823],[569,3713,3714,3717],{"style":1088},[569,3715],{"className":3716,"style":831},[830],[569,3718,3720],{"className":3719},[835,836,837,838],[569,3721,590],{"className":3722},[612,838],[569,3724],{"className":3725,"style":845},[747],[569,3727,739],{"className":3728},[849],[569,3730],{"className":3731,"style":845},[747],[569,3733,3735,3738],{"className":3734},[603],[569,3736],{"className":3737,"style":608},[607],[569,3739,628],{"className":3740},[612]," gilt nur dort, wo es ausdrücklich als Konvention vereinbart ist; in der Schule bleibt ",[569,3743,3745,3762],{"className":3744},[572],[569,3746,3748],{"className":3747},[576],[578,3749,3750],{"xmlns":580},[582,3751,3752,3760],{},[585,3753,3754],{},[729,3755,3756,3758],{},[588,3757,590],{},[588,3759,590],{},[592,3761,1057],{"encoding":594},[569,3763,3765],{"className":3764,"ariaHidden":599},[598],[569,3766,3768,3771],{"className":3767},[603],[569,3769],{"className":3770,"style":1067},[607],[569,3772,3774,3777],{"className":3773},[612],[569,3775,590],{"className":3776},[612],[569,3778,3780],{"className":3779},[811],[569,3781,3783],{"className":3782},[815],[569,3784,3786],{"className":3785},[819],[569,3787,3789],{"className":3788,"style":1067},[823],[569,3790,3791,3794],{"style":1088},[569,3792],{"className":3793,"style":831},[830],[569,3795,3797],{"className":3796},[835,836,837,838],[569,3798,590],{"className":3799},[612,838]," meist undefiniert.",{"title":3802,"searchDepth":3803,"depth":3803,"links":3804},"",2,[3805,3806,3807,3808],{"id":562,"depth":3803,"text":563},{"id":1250,"depth":3803,"text":1251},{"id":1979,"depth":3803,"text":1980},{"id":2894,"depth":3803,"text":2895},[3810,3812,3815,3818,3821,3823,3825,3827,3830,3832],{"lhs":3811,"rhs":628},"a^0",{"lhs":3813,"rhs":3814},"2^3 \u002F 2","2^2",{"lhs":3816,"rhs":3817},"2^1 \u002F 2","2^0",{"lhs":3819,"rhs":3820},"5^3 \u002F 5^3","5^(3-3)",{"lhs":3822,"rhs":628},"7^0",{"lhs":3824,"rhs":628},"(-3)^0",{"lhs":3826,"rhs":628},"(2\u002F5)^0",{"lhs":3828,"rhs":3829},"-3^0","-1",{"lhs":3831,"rhs":628},"(x^2 + 1)^0",{"lhs":3833,"rhs":760},"4 * x^0","a \\neq 0","\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","zero-exponent","\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>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a^0 = 1\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:0.8641em;\">\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:0.8641em;\">\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\">0\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenz-mit-exponent-null",[],[3846,3847,3848],"negative-exponent","power-quotient-rule","power-product-rule",{"title":548,"description":3802},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenz-mit-exponent-null","Jede Zahl ungleich null, hoch 0 genommen, ergibt 1.",[3853,3854,3855,3856],"potenz","exponent","hochzahl null","potenzgesetze",[3858],{"symbol":1307,"meaning":3859,"symbolHtml":3860},"Basis, eine beliebige Zahl ungleich null","\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>","OR-gMs7aR1YaAKdL33MaqDieyE-puDT7TgTF_MZvzOs",[3863,3866,3869],{"stem":3864,"title":3865,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fnegative-exponenten","Negative Exponenten und Exponent null",{"stem":3867,"title":3868,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren","Potenzen mit gleicher Basis dividieren",{"stem":3870,"title":3871,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-multiplizieren","Potenzen mit gleicher Basis multiplizieren",1793824273031]