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a^0",[572,1120,1122,1269,1415,1469],{"className":1121,"ariaHidden":612},[611],[572,1123,1125,1129,1260,1263,1266],{"className":1124},[616],[572,1126],{"className":1127,"style":1128},[620],"height:2.0274em;vertical-align:-0.686em;",[572,1130,1132,1137,1256],{"className":1131},[625],[572,1133],{"className":1134},[1135,1136],"mopen","nulldelimiter",[572,1138,1140],{"className":1139},[1052],[572,1141,1144,1247],{"className":1142},[746,1143],"vlist-t2",[572,1145,1147,1242],{"className":1146},[750],[572,1148,1151,1192,1203],{"className":1149,"style":1150},[754],"height:1.3414em;",[572,1152,1154,1158],{"style":1153},"top:-2.314em;",[572,1155],{"className":1156,"style":1157},[761],"height:3em;",[572,1159,1161],{"className":1160},[625],[572,1162,1164,1167],{"className":1163},[625],[572,1165,593],{"className":1166},[625,626],[572,1168,1170],{"className":1169},[742],[572,1171,1173],{"className":1172},[746],[572,1174,1176],{"className":1175},[750],[572,1177,1180],{"className":1178,"style":1179},[754],"height:0.5904em;",[572,1181,1183,1186],{"style":1182},"top:-2.989em;margin-right:0.05em;",[572,1184],{"className":1185,"style":762},[761],[572,1187,1189],{"className":1188},[766,767,768,769],[572,1190,1060],{"className":1191},[625,626,769],[572,1193,1195,1198],{"style":1194},"top:-3.23em;",[572,1196],{"className":1197,"style":1157},[761],[572,1199],{"className":1200,"style":1202},[1201],"frac-line","border-bottom-width:0.04em;",[572,1204,1206,1209],{"style":1205},"top:-3.677em;",[572,1207],{"className":1208,"style":1157},[761],[572,1210,1212],{"className":1211},[625],[572,1213,1215,1218],{"className":1214},[625],[572,1216,593],{"className":1217},[625,626],[572,1219,1221],{"className":1220},[742],[572,1222,1224],{"className":1223},[746],[572,1225,1227],{"className":1226},[750],[572,1228,1231],{"className":1229,"style":1230},[754],"height:0.6644em;",[572,1232,1233,1236],{"style":893},[572,1234],{"className":1235,"style":762},[761],[572,1237,1239],{"className":1238},[766,767,768,769],[572,1240,1060],{"className":1241},[625,626,769],[572,1243,1246],{"className":1244},[1245],"vlist-s","​",[572,1248,1250],{"className":1249},[750],[572,1251,1254],{"className":1252,"style":1253},[754],"height:0.686em;",[572,1255],{},[572,1257],{"className":1258},[1259,1136],"mclose",[572,1261],{"className":1262,"style":631},[630],[572,1264,676],{"className":1265},[635],[572,1267],{"className":1268,"style":631},[630],[572,1270,1272,1275,1278,1282,1289,1292,1406,1409,1412],{"className":1271},[616],[572,1273],{"className":1274,"style":1128},[620],[572,1276,719],{"className":1277},[625],[572,1279],{"className":1280,"style":1281},[630],"margin-right:1em;",[572,1283,1286],{"className":1284},[625,1285],"text",[572,1287,1077],{"className":1288},[625],[572,1290],{"className":1291,"style":1281},[630],[572,1293,1295,1298,1403],{"className":1294},[625],[572,1296],{"className":1297},[1135,1136],[572,1299,1301],{"className":1300},[1052],[572,1302,1304,1395],{"className":1303},[746,1143],[572,1305,1307,1392],{"className":1306},[750],[572,1308,1310,1347,1355],{"className":1309,"style":1150},[754],[572,1311,1312,1315],{"style":1153},[572,1313],{"className":1314,"style":1157},[761],[572,1316,1318],{"className":1317},[625],[572,1319,1321,1324],{"className":1320},[625],[572,1322,593],{"className":1323},[625,626],[572,1325,1327],{"className":1326},[742],[572,1328,1330],{"className":1329},[746],[572,1331,1333],{"className":1332},[750],[572,1334,1336],{"className":1335,"style":1179},[754],[572,1337,1338,1341],{"style":1182},[572,1339],{"className":1340,"style":762},[761],[572,1342,1344],{"className":1343},[766,767,768,769],[572,1345,1060],{"className":1346},[625,626,769],[572,1348,1349,1352],{"style":1194},[572,1350],{"className":1351,"style":1157},[761],[572,1353],{"className":1354,"style":1202},[1201],[572,1356,1357,1360],{"style":1205},[572,1358],{"className":1359,"style":1157},[761],[572,1361,1363],{"className":1362},[625],[572,1364,1366,1369],{"className":1365},[625],[572,1367,593],{"className":1368},[625,626],[572,1370,1372],{"className":1371},[742],[572,1373,1375],{"className":1374},[746],[572,1376,1378],{"className":1377},[750],[572,1379,1381],{"className":1380,"style":1230},[754],[572,1382,1383,1386],{"style":893},[572,1384],{"className":1385,"style":762},[761],[572,1387,1389],{"className":1388},[766,767,768,769],[572,1390,1060],{"className":1391},[625,626,769],[572,1393,1246],{"className":1394},[1245],[572,1396,1398],{"className":1397},[750],[572,1399,1401],{"className":1400,"style":1253},[754],[572,1402],{},[572,1404],{"className":1405},[1259,1136],[572,1407],{"className":1408,"style":631},[630],[572,1410,676],{"className":1411},[635],[572,1413],{"className":1414,"style":631},[630],[572,1416,1418,1422,1460,1463,1466],{"className":1417},[616],[572,1419],{"className":1420,"style":1421},[620],"height:0.8213em;",[572,1423,1425,1428],{"className":1424},[625],[572,1426,593],{"className":1427},[625,626],[572,1429,1431],{"className":1430},[742],[572,1432,1434],{"className":1433},[746],[572,1435,1437],{"className":1436},[750],[572,1438,1440],{"className":1439,"style":1421},[754],[572,1441,1442,1445],{"style":757},[572,1443],{"className":1444,"style":762},[761],[572,1446,1448],{"className":1447},[766,767,768,769],[572,1449,1451,1454,1457],{"className":1450},[625,769],[572,1452,1060],{"className":1453},[625,626,769],[572,1455,828],{"className":1456},[859,769],[572,1458,1060],{"className":1459},[625,626,769],[572,1461],{"className":1462,"style":631},[630],[572,1464,676],{"className":1465},[635],[572,1467],{"className":1468,"style":631},[630],[572,1470,1472,1475],{"className":1471},[616],[572,1473],{"className":1474,"style":732},[620],[572,1476,1478,1481],{"className":1477},[625],[572,1479,593],{"className":1480},[625,626],[572,1482,1484],{"className":1483},[742],[572,1485,1487],{"className":1486},[746],[572,1488,1490],{"className":1489},[750],[572,1491,1493],{"className":1492,"style":732},[754],[572,1494,1495,1498],{"style":757},[572,1496],{"className":1497,"style":762},[761],[572,1499,1501],{"className":1500},[766,767,768,769],[572,1502,602],{"className":1503},[625,769],[563,1505,1506],{},"Damit folgt für den negativen Exponenten:",[572,1508,1510],{"className":1509},[694],[572,1511,1513,1577],{"className":1512},[575],[572,1514,1516],{"className":1515},[579],[581,1517,1518],{"xmlns":583,"display":703},[585,1519,1520,1574],{},[588,1521,1522,1532,1534,1548,1550,1562,1564],{},[1052,1523,1524,1526],{},[600,1525,719],{},[709,1527,1528,1530],{},[591,1529,593],{},[591,1531,1060],{},[595,1533,676],{},[1052,1535,1536,1542],{},[709,1537,1538,1540],{},[591,1539,593],{},[600,1541,602],{},[709,1543,1544,1546],{},[591,1545,593],{},[591,1547,1060],{},[595,1549,676],{},[709,1551,1552,1554],{},[591,1553,593],{},[588,1555,1556,1558,1560],{},[600,1557,602],{},[595,1559,828],{},[591,1561,1060],{},[595,1563,676],{},[709,1565,1566,1568],{},[591,1567,593],{},[588,1569,1570,1572],{},[595,1571,828],{},[591,1573,1060],{},[604,1575,1576],{"encoding":606},"\\frac{1}{a^n} = \\frac{a^0}{a^n} = a^{0-n} = a^{-n}",[572,1578,1580,1685,1816,1869],{"className":1579,"ariaHidden":612},[611],[572,1581,1583,1587,1676,1679,1682],{"className":1582},[616],[572,1584],{"className":1585,"style":1586},[620],"height:2.0074em;vertical-align:-0.686em;",[572,1588,1590,1593,1673],{"className":1589},[625],[572,1591],{"className":1592},[1135,1136],[572,1594,1596],{"className":1595},[1052],[572,1597,1599,1665],{"className":1598},[746,1143],[572,1600,1602,1662],{"className":1601},[750],[572,1603,1606,1643,1651],{"className":1604,"style":1605},[754],"height:1.3214em;",[572,1607,1608,1611],{"style":1153},[572,1609],{"className":1610,"style":1157},[761],[572,1612,1614],{"className":1613},[625],[572,1615,1617,1620],{"className":1616},[625],[572,1618,593],{"className":1619},[625,626],[572,1621,1623],{"className":1622},[742],[572,1624,1626],{"className":1625},[746],[572,1627,1629],{"className":1628},[750],[572,1630,1632],{"className":1631,"style":1179},[754],[572,1633,1634,1637],{"style":1182},[572,1635],{"className":1636,"style":762},[761],[572,1638,1640],{"className":1639},[766,767,768,769],[572,1641,1060],{"className":1642},[625,626,769],[572,1644,1645,1648],{"style":1194},[572,1646],{"className":1647,"style":1157},[761],[572,1649],{"className":1650,"style":1202},[1201],[572,1652,1653,1656],{"style":1205},[572,1654],{"className":1655,"style":1157},[761],[572,1657,1659],{"className":1658},[625],[572,1660,719],{"className":1661},[625],[572,1663,1246],{"className":1664},[1245],[572,1666,1668],{"className":1667},[750],[572,1669,1671],{"className":1670,"style":1253},[754],[572,1672],{},[572,1674],{"className":1675},[1259,1136],[572,1677],{"className":1678,"style":631},[630],[572,1680,676],{"className":1681},[635],[572,1683],{"className":1684,"style":631},[630],[572,1686,1688,1692,1807,1810,1813],{"className":1687},[616],[572,1689],{"className":1690,"style":1691},[620],"height:2.1771em;vertical-align:-0.686em;",[572,1693,1695,1698,1804],{"className":1694},[625],[572,1696],{"className":1697},[1135,1136],[572,1699,1701],{"className":1700},[1052],[572,1702,1704,1796],{"className":1703},[746,1143],[572,1705,1707,1793],{"className":1706},[750],[572,1708,1711,1748,1756],{"className":1709,"style":1710},[754],"height:1.4911em;",[572,1712,1713,1716],{"style":1153},[572,1714],{"className":1715,"style":1157},[761],[572,1717,1719],{"className":1718},[625],[572,1720,1722,1725],{"className":1721},[625],[572,1723,593],{"className":1724},[625,626],[572,1726,1728],{"className":1727},[742],[572,1729,1731],{"className":1730},[746],[572,1732,1734],{"className":1733},[750],[572,1735,1737],{"className":1736,"style":1179},[754],[572,1738,1739,1742],{"style":1182},[572,1740],{"className":1741,"style":762},[761],[572,1743,1745],{"className":1744},[766,767,768,769],[572,1746,1060],{"className":1747},[625,626,769],[572,1749,1750,1753],{"style":1194},[572,1751],{"className":1752,"style":1157},[761],[572,1754],{"className":1755,"style":1202},[1201],[572,1757,1758,1761],{"style":1205},[572,1759],{"className":1760,"style":1157},[761],[572,1762,1764],{"className":1763},[625],[572,1765,1767,1770],{"className":1766},[625],[572,1768,593],{"className":1769},[625,626],[572,1771,1773],{"className":1772},[742],[572,1774,1776],{"className":1775},[746],[572,1777,1779],{"className":1778},[750],[572,1780,1782],{"className":1781,"style":869},[754],[572,1783,1784,1787],{"style":893},[572,1785],{"className":1786,"style":762},[761],[572,1788,1790],{"className":1789},[766,767,768,769],[572,1791,602],{"className":1792},[625,769],[572,1794,1246],{"className":1795},[1245],[572,1797,1799],{"className":1798},[750],[572,1800,1802],{"className":1801,"style":1253},[754],[572,1803],{},[572,1805],{"className":1806},[1259,1136],[572,1808],{"className":1809,"style":631},[630],[572,1811,676],{"className":1812},[635],[572,1814],{"className":1815,"style":631},[630],[572,1817,1819,1822,1860,1863,1866],{"className":1818},[616],[572,1820],{"className":1821,"style":732},[620],[572,1823,1825,1828],{"className":1824},[625],[572,1826,593],{"className":1827},[625,626],[572,1829,1831],{"className":1830},[742],[572,1832,1834],{"className":1833},[746],[572,1835,1837],{"className":1836},[750],[572,1838,1840],{"className":1839,"style":732},[754],[572,1841,1842,1845],{"style":757},[572,1843],{"className":1844,"style":762},[761],[572,1846,1848],{"className":1847},[766,767,768,769],[572,1849,1851,1854,1857],{"className":1850},[625,769],[572,1852,602],{"className":1853},[625,769],[572,1855,828],{"className":1856},[859,769],[572,1858,1060],{"className":1859},[625,626,769],[572,1861],{"className":1862,"style":631},[630],[572,1864,676],{"className":1865},[635],[572,1867],{"className":1868,"style":631},[630],[572,1870,1872,1875],{"className":1871},[616],[572,1873],{"className":1874,"style":1421},[620],[572,1876,1878,1881],{"className":1877},[625],[572,1879,593],{"className":1880},[625,626],[572,1882,1884],{"className":1883},[742],[572,1885,1887],{"className":1886},[746],[572,1888,1890],{"className":1889},[750],[572,1891,1893],{"className":1892,"style":1421},[754],[572,1894,1895,1898],{"style":757},[572,1896],{"className":1897,"style":762},[761],[572,1899,1901],{"className":1900},[766,767,768,769],[572,1902,1904,1907],{"className":1903},[625,769],[572,1905,828],{"className":1906},[625,769],[572,1908,1060],{"className":1909},[625,626,769],[558,1911,1913],{"id":1912},"beispiele","Beispiele",[572,1915,1917],{"className":1916},[694],[572,1918,1920,1969],{"className":1919},[575],[572,1921,1923],{"className":1922},[579],[581,1924,1925],{"xmlns":583,"display":703},[585,1926,1927,1966],{},[588,1928,1929,1940,1942,1952,1954,1961,1963],{},[709,1930,1931,1934],{},[600,1932,1933],{},"2",[588,1935,1936,1938],{},[595,1937,828],{},[600,1939,815],{},[595,1941,676],{},[1052,1943,1944,1946],{},[600,1945,719],{},[709,1947,1948,1950],{},[600,1949,1933],{},[600,1951,815],{},[595,1953,676],{},[1052,1955,1956,1958],{},[600,1957,719],{},[600,1959,1960],{},"8",[595,1962,676],{},[600,1964,1965],{},"0,125",[604,1967,1968],{"encoding":606},"2^{-3} = \\frac{1}{2^3} = \\frac{1}{8} = 0{,}125",[572,1970,1972,2022,2126,2203],{"className":1971,"ariaHidden":612},[611],[572,1973,1975,1978,2013,2016,2019],{"className":1974},[616],[572,1976],{"className":1977,"style":732},[620],[572,1979,1981,1984],{"className":1980},[625],[572,1982,1933],{"className":1983},[625],[572,1985,1987],{"className":1986},[742],[572,1988,1990],{"className":1989},[746],[572,1991,1993],{"className":1992},[750],[572,1994,1996],{"className":1995,"style":732},[754],[572,1997,1998,2001],{"style":757},[572,1999],{"className":2000,"style":762},[761],[572,2002,2004],{"className":2003},[766,767,768,769],[572,2005,2007,2010],{"className":2006},[625,769],[572,2008,828],{"className":2009},[625,769],[572,2011,815],{"className":2012},[625,769],[572,2014],{"className":2015,"style":631},[630],[572,2017,676],{"className":2018},[635],[572,2020],{"className":2021,"style":631},[630],[572,2023,2025,2028,2117,2120,2123],{"className":2024},[616],[572,2026],{"className":2027,"style":1586},[620],[572,2029,2031,2034,2114],{"className":2030},[625],[572,2032],{"className":2033},[1135,1136],[572,2035,2037],{"className":2036},[1052],[572,2038,2040,2106],{"className":2039},[746,1143],[572,2041,2043,2103],{"className":2042},[750],[572,2044,2046,2084,2092],{"className":2045,"style":1605},[754],[572,2047,2048,2051],{"style":1153},[572,2049],{"className":2050,"style":1157},[761],[572,2052,2054],{"className":2053},[625],[572,2055,2057,2060],{"className":2056},[625],[572,2058,1933],{"className":2059},[625],[572,2061,2063],{"className":2062},[742],[572,2064,2066],{"className":2065},[746],[572,2067,2069],{"className":2068},[750],[572,2070,2073],{"className":2071,"style":2072},[754],"height:0.7401em;",[572,2074,2075,2078],{"style":1182},[572,2076],{"className":2077,"style":762},[761],[572,2079,2081],{"className":2080},[766,767,768,769],[572,2082,815],{"className":2083},[625,769],[572,2085,2086,2089],{"style":1194},[572,2087],{"className":2088,"style":1157},[761],[572,2090],{"className":2091,"style":1202},[1201],[572,2093,2094,2097],{"style":1205},[572,2095],{"className":2096,"style":1157},[761],[572,2098,2100],{"className":2099},[625],[572,2101,719],{"className":2102},[625],[572,2104,1246],{"className":2105},[1245],[572,2107,2109],{"className":2108},[750],[572,2110,2112],{"className":2111,"style":1253},[754],[572,2113],{},[572,2115],{"className":2116},[1259,1136],[572,2118],{"className":2119,"style":631},[630],[572,2121,676],{"className":2122},[635],[572,2124],{"className":2125,"style":631},[630],[572,2127,2129,2132,2194,2197,2200],{"className":2128},[616],[572,2130],{"className":2131,"style":1586},[620],[572,2133,2135,2138,2191],{"className":2134},[625],[572,2136],{"className":2137},[1135,1136],[572,2139,2141],{"className":2140},[1052],[572,2142,2144,2183],{"className":2143},[746,1143],[572,2145,2147,2180],{"className":2146},[750],[572,2148,2150,2161,2169],{"className":2149,"style":1605},[754],[572,2151,2152,2155],{"style":1153},[572,2153],{"className":2154,"style":1157},[761],[572,2156,2158],{"className":2157},[625],[572,2159,1960],{"className":2160},[625],[572,2162,2163,2166],{"style":1194},[572,2164],{"className":2165,"style":1157},[761],[572,2167],{"className":2168,"style":1202},[1201],[572,2170,2171,2174],{"style":1205},[572,2172],{"className":2173,"style":1157},[761],[572,2175,2177],{"className":2176},[625],[572,2178,719],{"className":2179},[625],[572,2181,1246],{"className":2182},[1245],[572,2184,2186],{"className":2185},[750],[572,2187,2189],{"className":2188,"style":1253},[754],[572,2190],{},[572,2192],{"className":2193},[1259,1136],[572,2195],{"className":2196,"style":631},[630],[572,2198,676],{"className":2199},[635],[572,2201],{"className":2202,"style":631},[630],[572,2204,2206,2209,2212,2218],{"className":2205},[616],[572,2207],{"className":2208,"style":924},[620],[572,2210,602],{"className":2211},[625],[572,2213,2215],{"className":2214},[625],[572,2216,935],{"className":2217},[934],[572,2219,2221],{"className":2220},[625],"125",[572,2223,2225],{"className":2224},[694],[572,2226,2228,2264],{"className":2227},[575],[572,2229,2231],{"className":2230},[579],[581,2232,2233],{"xmlns":583,"display":703},[585,2234,2235,2261],{},[588,2236,2237,2247,2249,2256,2258],{},[709,2238,2239,2241],{},[600,2240,823],{},[588,2242,2243,2245],{},[595,2244,828],{},[600,2246,1933],{},[595,2248,676],{},[1052,2250,2251,2253],{},[600,2252,719],{},[600,2254,2255],{},"100",[595,2257,676],{},[600,2259,2260],{},"0,01",[604,2262,2263],{"encoding":606},"10^{-2} = \\frac{1}{100} = 0{,}01",[572,2265,2267,2320,2397],{"className":2266,"ariaHidden":612},[611],[572,2268,2270,2273,2276,2311,2314,2317],{"className":2269},[616],[572,2271],{"className":2272,"style":732},[620],[572,2274,719],{"className":2275},[625],[572,2277,2279,2282],{"className":2278},[625],[572,2280,602],{"className":2281},[625],[572,2283,2285],{"className":2284},[742],[572,2286,2288],{"className":2287},[746],[572,2289,2291],{"className":2290},[750],[572,2292,2294],{"className":2293,"style":732},[754],[572,2295,2296,2299],{"style":757},[572,2297],{"className":2298,"style":762},[761],[572,2300,2302],{"className":2301},[766,767,768,769],[572,2303,2305,2308],{"className":2304},[625,769],[572,2306,828],{"className":2307},[625,769],[572,2309,1933],{"className":2310},[625,769],[572,2312],{"className":2313,"style":631},[630],[572,2315,676],{"className":2316},[635],[572,2318],{"className":2319,"style":631},[630],[572,2321,2323,2326,2388,2391,2394],{"className":2322},[616],[572,2324],{"className":2325,"style":1586},[620],[572,2327,2329,2332,2385],{"className":2328},[625],[572,2330],{"className":2331},[1135,1136],[572,2333,2335],{"className":2334},[1052],[572,2336,2338,2377],{"className":2337},[746,1143],[572,2339,2341,2374],{"className":2340},[750],[572,2342,2344,2355,2363],{"className":2343,"style":1605},[754],[572,2345,2346,2349],{"style":1153},[572,2347],{"className":2348,"style":1157},[761],[572,2350,2352],{"className":2351},[625],[572,2353,2255],{"className":2354},[625],[572,2356,2357,2360],{"style":1194},[572,2358],{"className":2359,"style":1157},[761],[572,2361],{"className":2362,"style":1202},[1201],[572,2364,2365,2368],{"style":1205},[572,2366],{"className":2367,"style":1157},[761],[572,2369,2371],{"className":2370},[625],[572,2372,719],{"className":2373},[625],[572,2375,1246],{"className":2376},[1245],[572,2378,2380],{"className":2379},[750],[572,2381,2383],{"className":2382,"style":1253},[754],[572,2384],{},[572,2386],{"className":2387},[1259,1136],[572,2389],{"className":2390,"style":631},[630],[572,2392,676],{"className":2393},[635],[572,2395],{"className":2396,"style":631},[630],[572,2398,2400,2403,2406,2412],{"className":2399},[616],[572,2401],{"className":2402,"style":924},[620],[572,2404,602],{"className":2405},[625],[572,2407,2409],{"className":2408},[625],[572,2410,935],{"className":2411},[934],[572,2413,2415],{"className":2414},[625],"01",[563,2417,2418],{},"Bei Brüchen kehrt man den Bruch um:",[572,2420,2422],{"className":2421},[694],[572,2423,2425,2487],{"className":2424},[575],[572,2426,2428],{"className":2427},[579],[581,2429,2430],{"xmlns":583,"display":703},[585,2431,2432,2484],{},[588,2433,2434,2456,2458,2474,2476],{},[709,2435,2436,2450],{},[588,2437,2438,2441,2447],{},[595,2439,2440],{"fence":612},"(",[1052,2442,2443,2445],{},[600,2444,1933],{},[600,2446,815],{},[595,2448,2449],{"fence":612},")",[588,2451,2452,2454],{},[595,2453,828],{},[600,2455,1933],{},[595,2457,676],{},[709,2459,2460,2472],{},[588,2461,2462,2464,2470],{},[595,2463,2440],{"fence":612},[1052,2465,2466,2468],{},[600,2467,815],{},[600,2469,1933],{},[595,2471,2449],{"fence":612},[600,2473,1933],{},[595,2475,676],{},[1052,2477,2478,2481],{},[600,2479,2480],{},"9",[600,2482,2483],{},"4",[604,2485,2486],{"encoding":606},"\\left(\\frac{2}{3}\\right)^{-2} = \\left(\\frac{3}{2}\\right)^2 = \\frac{9}{4}",[572,2488,2490,2621,2739],{"className":2489,"ariaHidden":612},[611],[572,2491,2493,2497,2612,2615,2618],{"className":2492},[616],[572,2494],{"className":2495,"style":2496},[620],"height:2.604em;vertical-align:-0.95em;",[572,2498,2501,2581],{"className":2499},[2500],"minner",[572,2502,2504,2513,2575],{"className":2503},[2500],[572,2505,2509],{"className":2506,"style":2508},[1135,2507],"delimcenter","top:0em;",[572,2510,2440],{"className":2511},[2512,768],"delimsizing",[572,2514,2516,2519,2572],{"className":2515},[625],[572,2517],{"className":2518},[1135,1136],[572,2520,2522],{"className":2521},[1052],[572,2523,2525,2564],{"className":2524},[746,1143],[572,2526,2528,2561],{"className":2527},[750],[572,2529,2531,2542,2550],{"className":2530,"style":1605},[754],[572,2532,2533,2536],{"style":1153},[572,2534],{"className":2535,"style":1157},[761],[572,2537,2539],{"className":2538},[625],[572,2540,815],{"className":2541},[625],[572,2543,2544,2547],{"style":1194},[572,2545],{"className":2546,"style":1157},[761],[572,2548],{"className":2549,"style":1202},[1201],[572,2551,2552,2555],{"style":1205},[572,2553],{"className":2554,"style":1157},[761],[572,2556,2558],{"className":2557},[625],[572,2559,1933],{"className":2560},[625],[572,2562,1246],{"className":2563},[1245],[572,2565,2567],{"className":2566},[750],[572,2568,2570],{"className":2569,"style":1253},[754],[572,2571],{},[572,2573],{"className":2574},[1259,1136],[572,2576,2578],{"className":2577,"style":2508},[1259,2507],[572,2579,2449],{"className":2580},[2512,768],[572,2582,2584],{"className":2583},[742],[572,2585,2587],{"className":2586},[746],[572,2588,2590],{"className":2589},[750],[572,2591,2594],{"className":2592,"style":2593},[754],"height:1.654em;",[572,2595,2597,2600],{"style":2596},"top:-3.9029em;margin-right:0.05em;",[572,2598],{"className":2599,"style":762},[761],[572,2601,2603],{"className":2602},[766,767,768,769],[572,2604,2606,2609],{"className":2605},[625,769],[572,2607,828],{"className":2608},[625,769],[572,2610,1933],{"className":2611},[625,769],[572,2613],{"className":2614,"style":631},[630],[572,2616,676],{"className":2617},[635],[572,2619],{"className":2620,"style":631},[630],[572,2622,2624,2627,2730,2733,2736],{"className":2623},[616],[572,2625],{"className":2626,"style":2496},[620],[572,2628,2630,2707],{"className":2629},[2500],[572,2631,2633,2639,2701],{"className":2632},[2500],[572,2634,2636],{"className":2635,"style":2508},[1135,2507],[572,2637,2440],{"className":2638},[2512,768],[572,2640,2642,2645,2698],{"className":2641},[625],[572,2643],{"className":2644},[1135,1136],[572,2646,2648],{"className":2647},[1052],[572,2649,2651,2690],{"className":2650},[746,1143],[572,2652,2654,2687],{"className":2653},[750],[572,2655,2657,2668,2676],{"className":2656,"style":1605},[754],[572,2658,2659,2662],{"style":1153},[572,2660],{"className":2661,"style":1157},[761],[572,2663,2665],{"className":2664},[625],[572,2666,1933],{"className":2667},[625],[572,2669,2670,2673],{"style":1194},[572,2671],{"className":2672,"style":1157},[761],[572,2674],{"className":2675,"style":1202},[1201],[572,2677,2678,2681],{"style":1205},[572,2679],{"className":2680,"style":1157},[761],[572,2682,2684],{"className":2683},[625],[572,2685,815],{"className":2686},[625],[572,2688,1246],{"className":2689},[1245],[572,2691,2693],{"className":2692},[750],[572,2694,2696],{"className":2695,"style":1253},[754],[572,2697],{},[572,2699],{"className":2700},[1259,1136],[572,2702,2704],{"className":2703,"style":2508},[1259,2507],[572,2705,2449],{"className":2706},[2512,768],[572,2708,2710],{"className":2709},[742],[572,2711,2713],{"className":2712},[746],[572,2714,2716],{"className":2715},[750],[572,2717,2719],{"className":2718,"style":2593},[754],[572,2720,2721,2724],{"style":2596},[572,2722],{"className":2723,"style":762},[761],[572,2725,2727],{"className":2726},[766,767,768,769],[572,2728,1933],{"className":2729},[625,769],[572,2731],{"className":2732,"style":631},[630],[572,2734,676],{"className":2735},[635],[572,2737],{"className":2738,"style":631},[630],[572,2740,2742,2745],{"className":2741},[616],[572,2743],{"className":2744,"style":1586},[620],[572,2746,2748,2751,2804],{"className":2747},[625],[572,2749],{"className":2750},[1135,1136],[572,2752,2754],{"className":2753},[1052],[572,2755,2757,2796],{"className":2756},[746,1143],[572,2758,2760,2793],{"className":2759},[750],[572,2761,2763,2774,2782],{"className":2762,"style":1605},[754],[572,2764,2765,2768],{"style":1153},[572,2766],{"className":2767,"style":1157},[761],[572,2769,2771],{"className":2770},[625],[572,2772,2483],{"className":2773},[625],[572,2775,2776,2779],{"style":1194},[572,2777],{"className":2778,"style":1157},[761],[572,2780],{"className":2781,"style":1202},[1201],[572,2783,2784,2787],{"style":1205},[572,2785],{"className":2786,"style":1157},[761],[572,2788,2790],{"className":2789},[625],[572,2791,2480],{"className":2792},[625],[572,2794,1246],{"className":2795},[1245],[572,2797,2799],{"className":2798},[750],[572,2800,2802],{"className":2801,"style":1253},[754],[572,2803],{},[572,2805],{"className":2806},[1259,1136],[558,2808,2810],{"id":2809},"typische-fehler","Typische Fehler",[2812,2813,2814,2949,3197],"ul",{},[2815,2816,2817,2818,940],"li",{},"Negativen Exponenten als negatives Vorzeichen lesen: ",[572,2819,2821,2849],{"className":2820},[575],[572,2822,2824],{"className":2823},[579],[581,2825,2826],{"xmlns":583},[585,2827,2828,2846],{},[588,2829,2830,2840,2842,2844],{},[709,2831,2832,2834],{},[600,2833,1933],{},[588,2835,2836,2838],{},[595,2837,828],{},[600,2839,815],{},[595,2841,598],{"mathvariant":597},[595,2843,828],{},[600,2845,1960],{},[604,2847,2848],{"encoding":606},"2^{-3} \\neq -8",[572,2850,2852,2936],{"className":2851,"ariaHidden":612},[611],[572,2853,2855,2859,2894,2897,2933],{"className":2854},[616],[572,2856],{"className":2857,"style":2858},[620],"height:1.0085em;vertical-align:-0.1944em;",[572,2860,2862,2865],{"className":2861},[625],[572,2863,1933],{"className":2864},[625],[572,2866,2868],{"className":2867},[742],[572,2869,2871],{"className":2870},[746],[572,2872,2874],{"className":2873},[750],[572,2875,2877],{"className":2876,"style":869},[754],[572,2878,2879,2882],{"style":893},[572,2880],{"className":2881,"style":762},[761],[572,2883,2885],{"className":2884},[766,767,768,769],[572,2886,2888,2891],{"className":2887},[625,769],[572,2889,828],{"className":2890},[625,769],[572,2892,815],{"className":2893},[625,769],[572,2895],{"className":2896,"style":631},[630],[572,2898,2900,2927,2930],{"className":2899},[635],[572,2901,2903],{"className":2902},[635],[572,2904,2906],{"className":2905},[625,642],[572,2907,2909],{"className":2908},[646],[572,2910,2912,2915,2924],{"className":2911},[650],[572,2913],{"className":2914,"style":621},[620],[572,2916,2918],{"className":2917},[657],[572,2919,2921],{"className":2920},[625],[572,2922,664],{"className":2923},[635],[572,2925],{"className":2926},[668],[572,2928],{"className":2929},[630,672],[572,2931,676],{"className":2932},[635],[572,2934],{"className":2935,"style":631},[630],[572,2937,2939,2943,2946],{"className":2938},[616],[572,2940],{"className":2941,"style":2942},[620],"height:0.7278em;vertical-align:-0.0833em;",[572,2944,828],{"className":2945},[625],[572,2947,1960],{"className":2948},[625],[2815,2950,2951,3032,3033,3113,3114,940],{},[572,2952,2954,2976],{"className":2953},[575],[572,2955,2957],{"className":2956},[579],[581,2958,2959],{"xmlns":583},[585,2960,2961,2973],{},[588,2962,2963,2969,2971],{},[709,2964,2965,2967],{},[591,2966,593],{},[600,2968,602],{},[595,2970,676],{},[600,2972,602],{},[604,2974,2975],{"encoding":606},"a^0 = 0",[572,2977,2979,3023],{"className":2978,"ariaHidden":612},[611],[572,2980,2982,2985,3014,3017,3020],{"className":2981},[616],[572,2983],{"className":2984,"style":869},[620],[572,2986,2988,2991],{"className":2987},[625],[572,2989,593],{"className":2990},[625,626],[572,2992,2994],{"className":2993},[742],[572,2995,2997],{"className":2996},[746],[572,2998,3000],{"className":2999},[750],[572,3001,3003],{"className":3002,"style":869},[754],[572,3004,3005,3008],{"style":893},[572,3006],{"className":3007,"style":762},[761],[572,3009,3011],{"className":3010},[766,767,768,769],[572,3012,602],{"className":3013},[625,769],[572,3015],{"className":3016,"style":631},[630],[572,3018,676],{"className":3019},[635],[572,3021],{"className":3022,"style":631},[630],[572,3024,3026,3029],{"className":3025},[616],[572,3027],{"className":3028,"style":686},[620],[572,3030,602],{"className":3031},[625]," annehmen. Richtig ist ",[572,3034,3036,3057],{"className":3035},[575],[572,3037,3039],{"className":3038},[579],[581,3040,3041],{"xmlns":583},[585,3042,3043,3055],{},[588,3044,3045,3051,3053],{},[709,3046,3047,3049],{},[591,3048,593],{},[600,3050,602],{},[595,3052,676],{},[600,3054,719],{},[604,3056,722],{"encoding":606},[572,3058,3060,3104],{"className":3059,"ariaHidden":612},[611],[572,3061,3063,3066,3095,3098,3101],{"className":3062},[616],[572,3064],{"className":3065,"style":869},[620],[572,3067,3069,3072],{"className":3068},[625],[572,3070,593],{"className":3071},[625,626],[572,3073,3075],{"className":3074},[742],[572,3076,3078],{"className":3077},[746],[572,3079,3081],{"className":3080},[750],[572,3082,3084],{"className":3083,"style":869},[754],[572,3085,3086,3089],{"style":893},[572,3087],{"className":3088,"style":762},[761],[572,3090,3092],{"className":3091},[766,767,768,769],[572,3093,602],{"className":3094},[625,769],[572,3096],{"className":3097,"style":631},[630],[572,3099,676],{"className":3100},[635],[572,3102],{"className":3103,"style":631},[630],[572,3105,3107,3110],{"className":3106},[616],[572,3108],{"className":3109,"style":686},[620],[572,3111,719],{"className":3112},[625]," für jedes ",[572,3115,3117,3134],{"className":3116},[575],[572,3118,3120],{"className":3119},[579],[581,3121,3122],{"xmlns":583},[585,3123,3124,3132],{},[588,3125,3126,3128,3130],{},[591,3127,593],{},[595,3129,598],{"mathvariant":597},[600,3131,602],{},[604,3133,607],{"encoding":606},[572,3135,3137,3188],{"className":3136,"ariaHidden":612},[611],[572,3138,3140,3143,3146,3149,3185],{"className":3139},[616],[572,3141],{"className":3142,"style":621},[620],[572,3144,593],{"className":3145},[625,626],[572,3147],{"className":3148,"style":631},[630],[572,3150,3152,3179,3182],{"className":3151},[635],[572,3153,3155],{"className":3154},[635],[572,3156,3158],{"className":3157},[625,642],[572,3159,3161],{"className":3160},[646],[572,3162,3164,3167,3176],{"className":3163},[650],[572,3165],{"className":3166,"style":621},[620],[572,3168,3170],{"className":3169},[657],[572,3171,3173],{"className":3172},[625],[572,3174,664],{"className":3175},[635],[572,3177],{"className":3178},[668],[572,3180],{"className":3181},[630,672],[572,3183,676],{"className":3184},[635],[572,3186],{"className":3187,"style":631},[630],[572,3189,3191,3194],{"className":3190},[616],[572,3192],{"className":3193,"style":686},[620],[572,3195,602],{"className":3196},[625],[2815,3198,3199,3200,940],{},"Nur einen Teil des Bruchs umkehren: ",[572,3201,3203,3243],{"className":3202},[575],[572,3204,3206],{"className":3205},[579],[581,3207,3208],{"xmlns":583},[585,3209,3210,3240],{},[588,3211,3212,3232,3234],{},[709,3213,3214,3226],{},[588,3215,3216,3218,3224],{},[595,3217,2440],{"fence":612},[1052,3219,3220,3222],{},[600,3221,1933],{},[600,3223,815],{},[595,3225,2449],{"fence":612},[588,3227,3228,3230],{},[595,3229,828],{},[600,3231,1933],{},[595,3233,598],{"mathvariant":597},[1052,3235,3236,3238],{},[600,3237,1933],{},[600,3239,2480],{},[604,3241,3242],{"encoding":606},"\\left(\\frac{2}{3}\\right)^{-2} \\neq \\frac{2}{9}",[572,3244,3246,3417],{"className":3245,"ariaHidden":612},[611],[572,3247,3249,3253,3375,3378,3414],{"className":3248},[616],[572,3250],{"className":3251,"style":3252},[620],"height:1.404em;vertical-align:-0.35em;",[572,3254,3256,3344],{"className":3255},[2500],[572,3257,3259,3266,3338],{"className":3258},[2500],[572,3260,3262],{"className":3261,"style":2508},[1135,2507],[572,3263,2440],{"className":3264},[2512,3265],"size1",[572,3267,3269,3272,3335],{"className":3268},[625],[572,3270],{"className":3271},[1135,1136],[572,3273,3275],{"className":3274},[1052],[572,3276,3278,3326],{"className":3277},[746,1143],[572,3279,3281,3323],{"className":3280},[750],[572,3282,3285,3300,3308],{"className":3283,"style":3284},[754],"height:0.8451em;",[572,3286,3288,3291],{"style":3287},"top:-2.655em;",[572,3289],{"className":3290,"style":1157},[761],[572,3292,3294],{"className":3293},[766,767,768,769],[572,3295,3297],{"className":3296},[625,769],[572,3298,815],{"className":3299},[625,769],[572,3301,3302,3305],{"style":1194},[572,3303],{"className":3304,"style":1157},[761],[572,3306],{"className":3307,"style":1202},[1201],[572,3309,3311,3314],{"style":3310},"top:-3.394em;",[572,3312],{"className":3313,"style":1157},[761],[572,3315,3317],{"className":3316},[766,767,768,769],[572,3318,3320],{"className":3319},[625,769],[572,3321,1933],{"className":3322},[625,769],[572,3324,1246],{"className":3325},[1245],[572,3327,3329],{"className":3328},[750],[572,3330,3333],{"className":3331,"style":3332},[754],"height:0.345em;",[572,3334],{},[572,3336],{"className":3337},[1259,1136],[572,3339,3341],{"className":3340,"style":2508},[1259,2507],[572,3342,2449],{"className":3343},[2512,3265],[572,3345,3347],{"className":3346},[742],[572,3348,3350],{"className":3349},[746],[572,3351,3353],{"className":3352},[750],[572,3354,3357],{"className":3355,"style":3356},[754],"height:1.054em;",[572,3358,3360,3363],{"style":3359},"top:-3.3029em;margin-right:0.05em;",[572,3361],{"className":3362,"style":762},[761],[572,3364,3366],{"className":3365},[766,767,768,769],[572,3367,3369,3372],{"className":3368},[625,769],[572,3370,828],{"className":3371},[625,769],[572,3373,1933],{"className":3374},[625,769],[572,3376],{"className":3377,"style":631},[630],[572,3379,3381,3408,3411],{"className":3380},[635],[572,3382,3384],{"className":3383},[635],[572,3385,3387],{"className":3386},[625,642],[572,3388,3390],{"className":3389},[646],[572,3391,3393,3396,3405],{"className":3392},[650],[572,3394],{"className":3395,"style":621},[620],[572,3397,3399],{"className":3398},[657],[572,3400,3402],{"className":3401},[625],[572,3403,664],{"className":3404},[635],[572,3406],{"className":3407},[668],[572,3409],{"className":3410},[630,672],[572,3412,676],{"className":3413},[635],[572,3415],{"className":3416,"style":631},[630],[572,3418,3420,3424],{"className":3419},[616],[572,3421],{"className":3422,"style":3423},[620],"height:1.1901em;vertical-align:-0.345em;",[572,3425,3427,3430,3489],{"className":3426},[625],[572,3428],{"className":3429},[1135,1136],[572,3431,3433],{"className":3432},[1052],[572,3434,3436,3481],{"className":3435},[746,1143],[572,3437,3439,3478],{"className":3438},[750],[572,3440,3442,3456,3464],{"className":3441,"style":3284},[754],[572,3443,3444,3447],{"style":3287},[572,3445],{"className":3446,"style":1157},[761],[572,3448,3450],{"className":3449},[766,767,768,769],[572,3451,3453],{"className":3452},[625,769],[572,3454,2480],{"className":3455},[625,769],[572,3457,3458,3461],{"style":1194},[572,3459],{"className":3460,"style":1157},[761],[572,3462],{"className":3463,"style":1202},[1201],[572,3465,3466,3469],{"style":3310},[572,3467],{"className":3468,"style":1157},[761],[572,3470,3472],{"className":3471},[766,767,768,769],[572,3473,3475],{"className":3474},[625,769],[572,3476,1933],{"className":3477},[625,769],[572,3479,1246],{"className":3480},[1245],[572,3482,3484],{"className":3483},[750],[572,3485,3487],{"className":3486,"style":3332},[754],[572,3488],{},[572,3490],{"className":3491},[1259,1136],{"title":3493,"searchDepth":3494,"depth":3494,"links":3495},"",2,[3496,3497,3498,3499],{"id":560,"depth":3494,"text":561},{"id":943,"depth":3494,"text":944},{"id":1912,"depth":3494,"text":1913},{"id":2809,"depth":3494,"text":2810},[3501,3504,3505,3508,3510,3513],{"lhs":3502,"rhs":3503},"a^(-n)","1 \u002F a^n",{"lhs":997,"rhs":719},{"lhs":3506,"rhs":3507},"2^(-3)","1\u002F8",{"lhs":3507,"rhs":3509},"0.125",{"lhs":3511,"rhs":3512},"10^(-2)","0.01",{"lhs":3514,"rhs":3515},"(2\u002F3)^(-2)","9\u002F4","a \\neq 0,\\ n \\in \\mathbb{Z}","\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>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\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:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\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>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">Z\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.5782em;vertical-align:-0.0391em;\">\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:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">Z\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","negative-exponent","a^{-n} = \\frac{1}{a^n}, \\qquad a^0 = 1","\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>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\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^{-n} = \\frac{1}{a^n}, \\qquad 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:0.8213em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8213em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:2.0074em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3214em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.5904em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\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\u002Fnegative-exponenten",[],[3529,3530,3531],"zero-exponent","power-quotient-rule","power-product-rule",{"title":548,"description":3493},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fnegative-exponenten","Eine Potenz mit negativem Exponenten ist der Kehrwert der Potenz mit positivem Exponenten.",[3536,3537,3538,3539],"potenz","exponent","kehrwert","negative hochzahl",[3541,3544],{"symbol":593,"meaning":3542,"symbolHtml":3543},"Basis","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1060,"meaning":3545,"symbolHtml":3546},"Exponent, eine ganze Zahl","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","mhKxwWw1mzSrHLVl92n7Jwi7jUJSa3_2c7Ll8GUv3ag",[3549,3552,3555],{"stem":3550,"title":3551,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenz-mit-exponent-null","Potenz mit Exponent null",{"stem":3553,"title":3554,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-dividieren","Potenzen mit gleicher Basis dividieren",{"stem":3556,"title":3557,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-multiplizieren","Potenzen mit gleicher Basis multiplizieren",1793824272719]