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dieser Schreibweise gelten alle Potenzgesetze auch für Wurzeln. So lassen sich Terme mit Wurzeln wie Potenzen vereinfachen; in der Oberstufe braucht man das auch beim Ableiten.",[563,1129,1130,1131,1186,1187,1240],{},"Die Basis muss dabei ",[571,1132,1134,1154],{"className":1133},[574],[571,1135,1137],{"className":1136},[578],[580,1138,1139],{"xmlns":582},[584,1140,1141,1151],{},[587,1142,1143,1145,1148],{},[590,1144,669],{},[671,1146,1147],{},"≥",[683,1149,1150],{},"0",[594,1152,1153],{"encoding":596},"a \\geq 0",[571,1155,1157,1176],{"className":1156,"ariaHidden":601},[600],[571,1158,1160,1164,1167,1170,1173],{"className":1159},[605],[571,1161],{"className":1162,"style":1163},[609],"height:0.7719em;vertical-align:-0.136em;",[571,1165,669],{"className":1166},[614,615],[571,1168],{"className":1169,"style":800},[690],[571,1171,1147],{"className":1172},[804],[571,1174],{"className":1175,"style":800},[690],[571,1177,1179,1183],{"className":1178},[605],[571,1180],{"className":1181,"style":1182},[609],"height:0.6444em;",[571,1184,1150],{"className":1185},[614]," sein (bei negativem Exponenten ",[571,1188,1190,1209],{"className":1189},[574],[571,1191,1193],{"className":1192},[578],[580,1194,1195],{"xmlns":582},[584,1196,1197,1206],{},[587,1198,1199,1201,1204],{},[590,1200,669],{},[671,1202,1203],{},">",[683,1205,1150],{},[594,1207,1208],{"encoding":596},"a > 0",[571,1210,1212,1231],{"className":1211,"ariaHidden":601},[600],[571,1213,1215,1219,1222,1225,1228],{"className":1214},[605],[571,1216],{"className":1217,"style":1218},[609],"height:0.5782em;vertical-align:-0.0391em;",[571,1220,669],{"className":1221},[614,615],[571,1223],{"className":1224,"style":800},[690],[571,1226,1203],{"className":1227},[804],[571,1229],{"className":1230,"style":800},[690],[571,1232,1234,1237],{"className":1233},[605],[571,1235],{"className":1236,"style":1182},[609],[571,1238,1150],{"className":1239},[614],").",[558,1242,1244],{"id":1243},"beispiele","Beispiele",[571,1246,1248],{"className":1247},[650],[571,1249,1251,1287],{"className":1250},[574],[571,1252,1254],{"className":1253},[578],[580,1255,1256],{"xmlns":582,"display":659},[584,1257,1258,1284],{},[587,1259,1260,1268,1270,1280,1282],{},[694,1261,1262,1265],{},[683,1263,1264],{},"8",[683,1266,1267],{},"3",[671,1269,673],{},[675,1271,1272,1274],{},[683,1273,1264],{},[680,1275,1276,1278],{},[683,1277,685],{},[683,1279,1267],{},[671,1281,673],{},[683,1283,688],{},[594,1285,1286],{"encoding":596},"\\sqrt[3]{8} = 8^{\\frac{1}{3}} = 2",[571,1288,1290,1384,1496],{"className":1289,"ariaHidden":601},[600],[571,1291,1293,1297,1375,1378,1381],{"className":1292},[605],[571,1294],{"className":1295,"style":1296},[609],"height:1.04em;vertical-align:-0.0839em;",[571,1298,1300,1328],{"className":1299},[614,728],[571,1301,1303],{"className":1302},[942],[571,1304,1306],{"className":1305},[732],[571,1307,1309],{"className":1308},[737],[571,1310,1313],{"className":1311,"style":1312},[741],"height:0.8455em;",[571,1314,1316,1319],{"style":1315},"top:-3.0233em;",[571,1317],{"className":1318,"style":959},[751],[571,1320,1322],{"className":1321},[844,845,883,847],[571,1323,1325],{"className":1324},[614,847],[571,1326,1267],{"className":1327},[614,847],[571,1329,1331,1366],{"className":1330},[732,733],[571,1332,1334,1363],{"className":1333},[737],[571,1335,1338,1350],{"className":1336,"style":1337},[741],"height:0.9561em;",[571,1339,1341,1344],{"className":1340,"style":747},[746],[571,1342],{"className":1343,"style":752},[751],[571,1345,1347],{"className":1346,"style":756},[614],[571,1348,1264],{"className":1349},[614],[571,1351,1353,1356],{"style":1352},"top:-2.9161em;",[571,1354],{"className":1355,"style":752},[751],[571,1357,1359],{"className":1358,"style":770},[769],[772,1360,1361],{"xmlns":774,"width":775,"height":776,"viewBox":777,"preserveAspectRatio":778},[780,1362],{"d":782},[571,1364,787],{"className":1365},[786],[571,1367,1369],{"className":1368},[737],[571,1370,1373],{"className":1371,"style":1372},[741],"height:0.0839em;",[571,1374],{},[571,1376],{"className":1377,"style":800},[690],[571,1379,673],{"className":1380},[804],[571,1382],{"className":1383,"style":800},[690],[571,1385,1387,1390,1487,1490,1493],{"className":1386},[605],[571,1388],{"className":1389,"style":834},[609],[571,1391,1393,1396],{"className":1392},[614],[571,1394,1264],{"className":1395},[614],[571,1397,1399],{"className":1398},[824],[571,1400,1402],{"className":1401},[732],[571,1403,1405],{"className":1404},[737],[571,1406,1408],{"className":1407,"style":834},[741],[571,1409,1410,1413],{"style":837},[571,1411],{"className":1412,"style":752},[751],[571,1414,1416],{"className":1415},[844,845,846,847],[571,1417,1419],{"className":1418},[614,847],[571,1420,1422,1425,1484],{"className":1421},[614,847],[571,1423],{"className":1424},[857,858,844,859,860],[571,1426,1428],{"className":1427},[680],[571,1429,1431,1476],{"className":1430},[732,733],[571,1432,1434,1473],{"className":1433},[737],[571,1435,1437,1451,1459],{"className":1436,"style":873},[741],[571,1438,1439,1442],{"style":876},[571,1440],{"className":1441,"style":752},[751],[571,1443,1445],{"className":1444},[844,859,883,847],[571,1446,1448],{"className":1447},[614,847],[571,1449,1267],{"className":1450},[614,847],[571,1452,1453,1456],{"style":892},[571,1454],{"className":1455,"style":752},[751],[571,1457],{"className":1458,"style":900},[899,847],[571,1460,1461,1464],{"style":903},[571,1462],{"className":1463,"style":752},[751],[571,1465,1467],{"className":1466},[844,859,883,847],[571,1468,1470],{"className":1469},[614,847],[571,1471,685],{"className":1472},[614,847],[571,1474,787],{"className":1475},[786],[571,1477,1479],{"className":1478},[737],[571,1480,1482],{"className":1481,"style":925},[741],[571,1483],{},[571,1485],{"className":1486},[931,858,844,859,860],[571,1488],{"className":1489,"style":800},[690],[571,1491,673],{"className":1492},[804],[571,1494],{"className":1495,"style":800},[690],[571,1497,1499,1502],{"className":1498},[605],[571,1500],{"className":1501,"style":1182},[609],[571,1503,688],{"className":1504},[614],[571,1506,1508],{"className":1507},[650],[571,1509,1511,1566],{"className":1510},[574],[571,1512,1514],{"className":1513},[578],[580,1515,1516],{"xmlns":582,"display":659},[584,1517,1518,1563],{},[587,1519,1520,1530,1532,1550,1552,1558,1560],{},[675,1521,1522,1524],{},[683,1523,1264],{},[680,1525,1526,1528],{},[683,1527,688],{},[683,1529,1267],{},[671,1531,673],{},[675,1533,1534,1548],{},[587,1535,1536,1539,1545],{},[671,1537,1538],{"fence":601},"(",[694,1540,1541,1543],{},[683,1542,1264],{},[683,1544,1267],{},[671,1546,1547],{"fence":601},")",[683,1549,688],{},[671,1551,673],{},[675,1553,1554,1556],{},[683,1555,688],{},[683,1557,688],{},[671,1559,673],{},[683,1561,1562],{},"4",[594,1564,1565],{"encoding":596},"8^{\\frac{2}{3}} = \\left(\\sqrt[3]{8}\\right)^2 = 2^2 = 4",[571,1567,1569,1681,1819,1865],{"className":1568,"ariaHidden":601},[600],[571,1570,1572,1575,1672,1675,1678],{"className":1571},[605],[571,1573],{"className":1574,"style":834},[609],[571,1576,1578,1581],{"className":1577},[614],[571,1579,1264],{"className":1580},[614],[571,1582,1584],{"className":1583},[824],[571,1585,1587],{"className":1586},[732],[571,1588,1590],{"className":1589},[737],[571,1591,1593],{"className":1592,"style":834},[741],[571,1594,1595,1598],{"style":837},[571,1596],{"className":1597,"style":752},[751],[571,1599,1601],{"className":1600},[844,845,846,847],[571,1602,1604],{"className":1603},[614,847],[571,1605,1607,1610,1669],{"className":1606},[614,847],[571,1608],{"className":1609},[857,858,844,859,860],[571,1611,1613],{"className":1612},[680],[571,1614,1616,1661],{"className":1615},[732,733],[571,1617,1619,1658],{"className":1618},[737],[571,1620,1622,1636,1644],{"className":1621,"style":873},[741],[571,1623,1624,1627],{"style":876},[571,1625],{"className":1626,"style":752},[751],[571,1628,1630],{"className":1629},[844,859,883,847],[571,1631,1633],{"className":1632},[614,847],[571,1634,1267],{"className":1635},[614,847],[571,1637,1638,1641],{"style":892},[571,1639],{"className":1640,"style":752},[751],[571,1642],{"className":1643,"style":900},[899,847],[571,1645,1646,1649],{"style":903},[571,1647],{"className":1648,"style":752},[751],[571,1650,1652],{"className":1651},[844,859,883,847],[571,1653,1655],{"className":1654},[614,847],[571,1656,688],{"className":1657},[614,847],[571,1659,787],{"className":1660},[786],[571,1662,1664],{"className":1663},[737],[571,1665,1667],{"className":1666,"style":925},[741],[571,1668],{},[571,1670],{"className":1671},[931,858,844,859,860],[571,1673],{"className":1674,"style":800},[690],[571,1676,673],{"className":1677},[804],[571,1679],{"className":1680,"style":800},[690],[571,1682,1684,1688,1810,1813,1816],{"className":1683},[605],[571,1685],{"className":1686,"style":1687},[609],"height:2.004em;vertical-align:-0.65em;",[571,1689,1692,1784],{"className":1690},[1691],"minner",[571,1693,1695,1705,1778],{"className":1694},[1691],[571,1696,1700],{"className":1697,"style":1699},[857,1698],"delimcenter","top:0em;",[571,1701,1538],{"className":1702},[1703,1704],"delimsizing","size2",[571,1706,1708,1734],{"className":1707},[614,728],[571,1709,1711],{"className":1710},[942],[571,1712,1714],{"className":1713},[732],[571,1715,1717],{"className":1716},[737],[571,1718,1720],{"className":1719,"style":1312},[741],[571,1721,1722,1725],{"style":1315},[571,1723],{"className":1724,"style":959},[751],[571,1726,1728],{"className":1727},[844,845,883,847],[571,1729,1731],{"className":1730},[614,847],[571,1732,1267],{"className":1733},[614,847],[571,1735,1737,1770],{"className":1736},[732,733],[571,1738,1740,1767],{"className":1739},[737],[571,1741,1743,1755],{"className":1742,"style":1337},[741],[571,1744,1746,1749],{"className":1745,"style":747},[746],[571,1747],{"className":1748,"style":752},[751],[571,1750,1752],{"className":1751,"style":756},[614],[571,1753,1264],{"className":1754},[614],[571,1756,1757,1760],{"style":1352},[571,1758],{"className":1759,"style":752},[751],[571,1761,1763],{"className":1762,"style":770},[769],[772,1764,1765],{"xmlns":774,"width":775,"height":776,"viewBox":777,"preserveAspectRatio":778},[780,1766],{"d":782},[571,1768,787],{"className":1769},[786],[571,1771,1773],{"className":1772},[737],[571,1774,1776],{"className":1775,"style":1372},[741],[571,1777],{},[571,1779,1781],{"className":1780,"style":1699},[931,1698],[571,1782,1547],{"className":1783},[1703,1704],[571,1785,1787],{"className":1786},[824],[571,1788,1790],{"className":1789},[732],[571,1791,1793],{"className":1792},[737],[571,1794,1797],{"className":1795,"style":1796},[741],"height:1.354em;",[571,1798,1800,1804],{"style":1799},"top:-3.6029em;margin-right:0.05em;",[571,1801],{"className":1802,"style":1803},[751],"height:2.7em;",[571,1805,1807],{"className":1806},[844,845,846,847],[571,1808,688],{"className":1809},[614,847],[571,1811],{"className":1812,"style":800},[690],[571,1814,673],{"className":1815},[804],[571,1817],{"className":1818,"style":800},[690],[571,1820,1822,1826,1856,1859,1862],{"className":1821},[605],[571,1823],{"className":1824,"style":1825},[609],"height:0.8641em;",[571,1827,1829,1832],{"className":1828},[614],[571,1830,688],{"className":1831},[614],[571,1833,1835],{"className":1834},[824],[571,1836,1838],{"className":1837},[732],[571,1839,1841],{"className":1840},[737],[571,1842,1844],{"className":1843,"style":1825},[741],[571,1845,1847,1850],{"style":1846},"top:-3.113em;margin-right:0.05em;",[571,1848],{"className":1849,"style":1803},[751],[571,1851,1853],{"className":1852},[844,845,846,847],[571,1854,688],{"className":1855},[614,847],[571,1857],{"className":1858,"style":800},[690],[571,1860,673],{"className":1861},[804],[571,1863],{"className":1864,"style":800},[690],[571,1866,1868,1871],{"className":1867},[605],[571,1869],{"className":1870,"style":1182},[609],[571,1872,1562],{"className":1873},[614],[571,1875,1877],{"className":1876},[650],[571,1878,1880,1945],{"className":1879},[574],[571,1881,1883],{"className":1882},[578],[580,1884,1885],{"xmlns":582,"display":659},[584,1886,1887,1942],{},[587,1888,1889,1900,1902,1912,1914,1930,1932,1938,1940],{},[694,1890,1891,1898],{},[675,1892,1893,1896],{},[683,1894,1895],{},"16",[683,1897,1267],{},[683,1899,1562],{},[671,1901,673],{},[675,1903,1904,1906],{},[683,1905,1895],{},[680,1907,1908,1910],{},[683,1909,1267],{},[683,1911,1562],{},[671,1913,673],{},[675,1915,1916,1928],{},[587,1917,1918,1920,1926],{},[671,1919,1538],{"fence":601},[694,1921,1922,1924],{},[683,1923,1895],{},[683,1925,1562],{},[671,1927,1547],{"fence":601},[683,1929,1267],{},[671,1931,673],{},[675,1933,1934,1936],{},[683,1935,688],{},[683,1937,1267],{},[671,1939,673],{},[683,1941,1264],{},[594,1943,1944],{"encoding":596},"\\sqrt[4]{16^3} = 16^{\\frac{3}{4}} = \\left(\\sqrt[4]{16}\\right)^3 = 2^3 = 8",[571,1946,1948,2074,2189,2318,2362],{"className":1947,"ariaHidden":601},[600],[571,1949,1951,1955,2065,2068,2071],{"className":1950},[605],[571,1952],{"className":1953,"style":1954},[609],"height:1.04em;vertical-align:-0.0361em;",[571,1956,1958,1986],{"className":1957},[614,728],[571,1959,1961],{"className":1960},[942],[571,1962,1964],{"className":1963},[732],[571,1965,1967],{"className":1966},[737],[571,1968,1971],{"className":1969,"style":1970},[741],"height:0.9029em;",[571,1972,1974,1977],{"style":1973},"top:-3.0807em;",[571,1975],{"className":1976,"style":959},[751],[571,1978,1980],{"className":1979},[844,845,883,847],[571,1981,1983],{"className":1982},[614,847],[571,1984,1562],{"className":1985},[614,847],[571,1987,1989,2056],{"className":1988},[732,733],[571,1990,1992,2053],{"className":1991},[737],[571,1993,1996,2040],{"className":1994,"style":1995},[741],"height:1.0039em;",[571,1997,1999,2002],{"className":1998,"style":747},[746],[571,2000],{"className":2001,"style":752},[751],[571,2003,2005,2008],{"className":2004,"style":756},[614],[571,2006,685],{"className":2007},[614],[571,2009,2011,2015],{"className":2010},[614],[571,2012,2014],{"className":2013},[614],"6",[571,2016,2018],{"className":2017},[824],[571,2019,2021],{"className":2020},[732],[571,2022,2024],{"className":2023},[737],[571,2025,2028],{"className":2026,"style":2027},[741],"height:0.7401em;",[571,2029,2031,2034],{"style":2030},"top:-2.989em;margin-right:0.05em;",[571,2032],{"className":2033,"style":1803},[751],[571,2035,2037],{"className":2036},[844,845,846,847],[571,2038,1267],{"className":2039},[614,847],[571,2041,2043,2046],{"style":2042},"top:-2.9639em;",[571,2044],{"className":2045,"style":752},[751],[571,2047,2049],{"className":2048,"style":770},[769],[772,2050,2051],{"xmlns":774,"width":775,"height":776,"viewBox":777,"preserveAspectRatio":778},[780,2052],{"d":782},[571,2054,787],{"className":2055},[786],[571,2057,2059],{"className":2058},[737],[571,2060,2063],{"className":2061,"style":2062},[741],"height:0.0361em;",[571,2064],{},[571,2066],{"className":2067,"style":800},[690],[571,2069,673],{"className":2070},[804],[571,2072],{"className":2073,"style":800},[690],[571,2075,2077,2080,2083,2180,2183,2186],{"className":2076},[605],[571,2078],{"className":2079,"style":834},[609],[571,2081,685],{"className":2082},[614],[571,2084,2086,2089],{"className":2085},[614],[571,2087,2014],{"className":2088},[614],[571,2090,2092],{"className":2091},[824],[571,2093,2095],{"className":2094},[732],[571,2096,2098],{"className":2097},[737],[571,2099,2101],{"className":2100,"style":834},[741],[571,2102,2103,2106],{"style":837},[571,2104],{"className":2105,"style":752},[751],[571,2107,2109],{"className":2108},[844,845,846,847],[571,2110,2112],{"className":2111},[614,847],[571,2113,2115,2118,2177],{"className":2114},[614,847],[571,2116],{"className":2117},[857,858,844,859,860],[571,2119,2121],{"className":2120},[680],[571,2122,2124,2169],{"className":2123},[732,733],[571,2125,2127,2166],{"className":2126},[737],[571,2128,2130,2144,2152],{"className":2129,"style":873},[741],[571,2131,2132,2135],{"style":876},[571,2133],{"className":2134,"style":752},[751],[571,2136,2138],{"className":2137},[844,859,883,847],[571,2139,2141],{"className":2140},[614,847],[571,2142,1562],{"className":2143},[614,847],[571,2145,2146,2149],{"style":892},[571,2147],{"className":2148,"style":752},[751],[571,2150],{"className":2151,"style":900},[899,847],[571,2153,2154,2157],{"style":903},[571,2155],{"className":2156,"style":752},[751],[571,2158,2160],{"className":2159},[844,859,883,847],[571,2161,2163],{"className":2162},[614,847],[571,2164,1267],{"className":2165},[614,847],[571,2167,787],{"className":2168},[786],[571,2170,2172],{"className":2171},[737],[571,2173,2175],{"className":2174,"style":925},[741],[571,2176],{},[571,2178],{"className":2179},[931,858,844,859,860],[571,2181],{"className":2182,"style":800},[690],[571,2184,673],{"className":2185},[804],[571,2187],{"className":2188,"style":800},[690],[571,2190,2192,2195,2309,2312,2315],{"className":2191},[605],[571,2193],{"className":2194,"style":1687},[609],[571,2196,2198,2286],{"className":2197},[1691],[571,2199,2201,2207,2280],{"className":2200},[1691],[571,2202,2204],{"className":2203,"style":1699},[857,1698],[571,2205,1538],{"className":2206},[1703,1704],[571,2208,2210,2236],{"className":2209},[614,728],[571,2211,2213],{"className":2212},[942],[571,2214,2216],{"className":2215},[732],[571,2217,2219],{"className":2218},[737],[571,2220,2222],{"className":2221,"style":1312},[741],[571,2223,2224,2227],{"style":1315},[571,2225],{"className":2226,"style":959},[751],[571,2228,2230],{"className":2229},[844,845,883,847],[571,2231,2233],{"className":2232},[614,847],[571,2234,1562],{"className":2235},[614,847],[571,2237,2239,2272],{"className":2238},[732,733],[571,2240,2242,2269],{"className":2241},[737],[571,2243,2245,2257],{"className":2244,"style":1337},[741],[571,2246,2248,2251],{"className":2247,"style":747},[746],[571,2249],{"className":2250,"style":752},[751],[571,2252,2254],{"className":2253,"style":756},[614],[571,2255,1895],{"className":2256},[614],[571,2258,2259,2262],{"style":1352},[571,2260],{"className":2261,"style":752},[751],[571,2263,2265],{"className":2264,"style":770},[769],[772,2266,2267],{"xmlns":774,"width":775,"height":776,"viewBox":777,"preserveAspectRatio":778},[780,2268],{"d":782},[571,2270,787],{"className":2271},[786],[571,2273,2275],{"className":2274},[737],[571,2276,2278],{"className":2277,"style":1372},[741],[571,2279],{},[571,2281,2283],{"className":2282,"style":1699},[931,1698],[571,2284,1547],{"className":2285},[1703,1704],[571,2287,2289],{"className":2288},[824],[571,2290,2292],{"className":2291},[732],[571,2293,2295],{"className":2294},[737],[571,2296,2298],{"className":2297,"style":1796},[741],[571,2299,2300,2303],{"style":1799},[571,2301],{"className":2302,"style":1803},[751],[571,2304,2306],{"className":2305},[844,845,846,847],[571,2307,1267],{"className":2308},[614,847],[571,2310],{"className":2311,"style":800},[690],[571,2313,673],{"className":2314},[804],[571,2316],{"className":2317,"style":800},[690],[571,2319,2321,2324,2353,2356,2359],{"className":2320},[605],[571,2322],{"className":2323,"style":1825},[609],[571,2325,2327,2330],{"className":2326},[614],[571,2328,688],{"className":2329},[614],[571,2331,2333],{"className":2332},[824],[571,2334,2336],{"className":2335},[732],[571,2337,2339],{"className":2338},[737],[571,2340,2342],{"className":2341,"style":1825},[741],[571,2343,2344,2347],{"style":1846},[571,2345],{"className":2346,"style":1803},[751],[571,2348,2350],{"className":2349},[844,845,846,847],[571,2351,1267],{"className":2352},[614,847],[571,2354],{"className":2355,"style":800},[690],[571,2357,673],{"className":2358},[804],[571,2360],{"className":2361,"style":800},[690],[571,2363,2365,2368],{"className":2364},[605],[571,2366],{"className":2367,"style":1182},[609],[571,2369,1264],{"className":2370},[614],[558,2372,2374],{"id":2373},"typische-fehler","Typische Fehler",[2376,2377,2378,2780,3052],"ul",{},[2379,2380,2381,2382,2647,2648,2779],"li",{},"Zähler und Nenner vertauschen: ",[571,2383,2385,2420],{"className":2384},[574],[571,2386,2388],{"className":2387},[578],[580,2389,2390],{"xmlns":582},[584,2391,2392,2417],{},[587,2393,2394,2405,2407],{},[694,2395,2396,2403],{},[675,2397,2398,2401],{},[590,2399,2400],{},"x",[683,2402,688],{},[683,2404,1267],{},[671,2406,673],{},[675,2408,2409,2411],{},[590,2410,2400],{},[680,2412,2413,2415],{},[683,2414,688],{},[683,2416,1267],{},[594,2418,2419],{"encoding":596},"\\sqrt[3]{x^2} = x^{\\frac{2}{3}}",[571,2421,2423,2542],{"className":2422,"ariaHidden":601},[600],[571,2424,2426,2430,2533,2536,2539],{"className":2425},[605],[571,2427],{"className":2428,"style":2429},[609],"height:1.04em;vertical-align:-0.0849em;",[571,2431,2433,2460],{"className":2432},[614,728],[571,2434,2436],{"className":2435},[942],[571,2437,2439],{"className":2438},[732],[571,2440,2442],{"className":2441},[737],[571,2443,2445],{"className":2444,"style":873},[741],[571,2446,2448,2451],{"style":2447},"top:-3.0221em;",[571,2449],{"className":2450,"style":959},[751],[571,2452,2454],{"className":2453},[844,845,883,847],[571,2455,2457],{"className":2456},[614,847],[571,2458,1267],{"className":2459},[614,847],[571,2461,2463,2524],{"className":2462},[732,733],[571,2464,2466,2521],{"className":2465},[737],[571,2467,2470,2508],{"className":2468,"style":2469},[741],"height:0.9551em;",[571,2471,2473,2476],{"className":2472,"style":747},[746],[571,2474],{"className":2475,"style":752},[751],[571,2477,2479],{"className":2478,"style":756},[614],[571,2480,2482,2485],{"className":2481},[614],[571,2483,2400],{"className":2484},[614,615],[571,2486,2488],{"className":2487},[824],[571,2489,2491],{"className":2490},[732],[571,2492,2494],{"className":2493},[737],[571,2495,2497],{"className":2496,"style":2027},[741],[571,2498,2499,2502],{"style":2030},[571,2500],{"className":2501,"style":1803},[751],[571,2503,2505],{"className":2504},[844,845,846,847],[571,2506,688],{"className":2507},[614,847],[571,2509,2511,2514],{"style":2510},"top:-2.9151em;",[571,2512],{"className":2513,"style":752},[751],[571,2515,2517],{"className":2516,"style":770},[769],[772,2518,2519],{"xmlns":774,"width":775,"height":776,"viewBox":777,"preserveAspectRatio":778},[780,2520],{"d":782},[571,2522,787],{"className":2523},[786],[571,2525,2527],{"className":2526},[737],[571,2528,2531],{"className":2529,"style":2530},[741],"height:0.0849em;",[571,2532],{},[571,2534],{"className":2535,"style":800},[690],[571,2537,673],{"className":2538},[804],[571,2540],{"className":2541,"style":800},[690],[571,2543,2545,2549],{"className":2544},[605],[571,2546],{"className":2547,"style":2548},[609],"height:0.954em;",[571,2550,2552,2555],{"className":2551},[614],[571,2553,2400],{"className":2554},[614,615],[571,2556,2558],{"className":2557},[824],[571,2559,2561],{"className":2560},[732],[571,2562,2564],{"className":2563},[737],[571,2565,2567],{"className":2566,"style":2548},[741],[571,2568,2570,2573],{"style":2569},"top:-3.363em;margin-right:0.05em;",[571,2571],{"className":2572,"style":752},[751],[571,2574,2576],{"className":2575},[844,845,846,847],[571,2577,2579],{"className":2578},[614,847],[571,2580,2582,2585,2644],{"className":2581},[614,847],[571,2583],{"className":2584},[857,858,844,859,860],[571,2586,2588],{"className":2587},[680],[571,2589,2591,2636],{"className":2590},[732,733],[571,2592,2594,2633],{"className":2593},[737],[571,2595,2597,2611,2619],{"className":2596,"style":873},[741],[571,2598,2599,2602],{"style":876},[571,2600],{"className":2601,"style":752},[751],[571,2603,2605],{"className":2604},[844,859,883,847],[571,2606,2608],{"className":2607},[614,847],[571,2609,1267],{"className":2610},[614,847],[571,2612,2613,2616],{"style":892},[571,2614],{"className":2615,"style":752},[751],[571,2617],{"className":2618,"style":900},[899,847],[571,2620,2621,2624],{"style":903},[571,2622],{"className":2623,"style":752},[751],[571,2625,2627],{"className":2626},[844,859,883,847],[571,2628,2630],{"className":2629},[614,847],[571,2631,688],{"className":2632},[614,847],[571,2634,787],{"className":2635},[786],[571,2637,2639],{"className":2638},[737],[571,2640,2642],{"className":2641,"style":925},[741],[571,2643],{},[571,2645],{"className":2646},[931,858,844,859,860],", nicht ",[571,2649,2651,2673],{"className":2650},[574],[571,2652,2654],{"className":2653},[578],[580,2655,2656],{"xmlns":582},[584,2657,2658,2670],{},[587,2659,2660],{},[675,2661,2662,2664],{},[590,2663,2400],{},[680,2665,2666,2668],{},[683,2667,1267],{},[683,2669,688],{},[594,2671,2672],{"encoding":596},"x^{\\frac{3}{2}}",[571,2674,2676],{"className":2675,"ariaHidden":601},[600],[571,2677,2679,2682],{"className":2678},[605],[571,2680],{"className":2681,"style":2548},[609],[571,2683,2685,2688],{"className":2684},[614],[571,2686,2400],{"className":2687},[614,615],[571,2689,2691],{"className":2690},[824],[571,2692,2694],{"className":2693},[732],[571,2695,2697],{"className":2696},[737],[571,2698,2700],{"className":2699,"style":2548},[741],[571,2701,2702,2705],{"style":2569},[571,2703],{"className":2704,"style":752},[751],[571,2706,2708],{"className":2707},[844,845,846,847],[571,2709,2711],{"className":2710},[614,847],[571,2712,2714,2717,2776],{"className":2713},[614,847],[571,2715],{"className":2716},[857,858,844,859,860],[571,2718,2720],{"className":2719},[680],[571,2721,2723,2768],{"className":2722},[732,733],[571,2724,2726,2765],{"className":2725},[737],[571,2727,2729,2743,2751],{"className":2728,"style":873},[741],[571,2730,2731,2734],{"style":876},[571,2732],{"className":2733,"style":752},[751],[571,2735,2737],{"className":2736},[844,859,883,847],[571,2738,2740],{"className":2739},[614,847],[571,2741,688],{"className":2742},[614,847],[571,2744,2745,2748],{"style":892},[571,2746],{"className":2747,"style":752},[751],[571,2749],{"className":2750,"style":900},[899,847],[571,2752,2753,2756],{"style":903},[571,2754],{"className":2755,"style":752},[751],[571,2757,2759],{"className":2758},[844,859,883,847],[571,2760,2762],{"className":2761},[614,847],[571,2763,1267],{"className":2764},[614,847],[571,2766,787],{"className":2767},[786],[571,2769,2771],{"className":2770},[737],[571,2772,2774],{"className":2773,"style":925},[741],[571,2775],{},[571,2777],{"className":2778},[931,858,844,859,860],".",[2379,2781,2782,2913,2914,3051],{},[571,2783,2785,2807],{"className":2784},[574],[571,2786,2788],{"className":2787},[578],[580,2789,2790],{"xmlns":582},[584,2791,2792,2804],{},[587,2793,2794],{},[675,2795,2796,2798],{},[683,2797,1264],{},[680,2799,2800,2802],{},[683,2801,688],{},[683,2803,1267],{},[594,2805,2806],{"encoding":596},"8^{\\frac{2}{3}}",[571,2808,2810],{"className":2809,"ariaHidden":601},[600],[571,2811,2813,2816],{"className":2812},[605],[571,2814],{"className":2815,"style":2548},[609],[571,2817,2819,2822],{"className":2818},[614],[571,2820,1264],{"className":2821},[614],[571,2823,2825],{"className":2824},[824],[571,2826,2828],{"className":2827},[732],[571,2829,2831],{"className":2830},[737],[571,2832,2834],{"className":2833,"style":2548},[741],[571,2835,2836,2839],{"style":2569},[571,2837],{"className":2838,"style":752},[751],[571,2840,2842],{"className":2841},[844,845,846,847],[571,2843,2845],{"className":2844},[614,847],[571,2846,2848,2851,2910],{"className":2847},[614,847],[571,2849],{"className":2850},[857,858,844,859,860],[571,2852,2854],{"className":2853},[680],[571,2855,2857,2902],{"className":2856},[732,733],[571,2858,2860,2899],{"className":2859},[737],[571,2861,2863,2877,2885],{"className":2862,"style":873},[741],[571,2864,2865,2868],{"style":876},[571,2866],{"className":2867,"style":752},[751],[571,2869,2871],{"className":2870},[844,859,883,847],[571,2872,2874],{"className":2873},[614,847],[571,2875,1267],{"className":2876},[614,847],[571,2878,2879,2882],{"style":892},[571,2880],{"className":2881,"style":752},[751],[571,2883],{"className":2884,"style":900},[899,847],[571,2886,2887,2890],{"style":903},[571,2888],{"className":2889,"style":752},[751],[571,2891,2893],{"className":2892},[844,859,883,847],[571,2894,2896],{"className":2895},[614,847],[571,2897,688],{"className":2898},[614,847],[571,2900,787],{"className":2901},[786],[571,2903,2905],{"className":2904},[737],[571,2906,2908],{"className":2907,"style":925},[741],[571,2909],{},[571,2911],{"className":2912},[931,858,844,859,860]," als ",[571,2915,2917,2939],{"className":2916},[574],[571,2918,2920],{"className":2919},[578],[580,2921,2922],{"xmlns":582},[584,2923,2924,2936],{},[587,2925,2926],{},[680,2927,2928,2934],{},[675,2929,2930,2932],{},[683,2931,1264],{},[683,2933,688],{},[683,2935,1267],{},[594,2937,2938],{"encoding":596},"\\frac{8^2}{3}",[571,2940,2942],{"className":2941,"ariaHidden":601},[600],[571,2943,2945,2949],{"className":2944},[605],[571,2946],{"className":2947,"style":2948},[609],"height:1.3629em;vertical-align:-0.345em;",[571,2950,2952,2955,3048],{"className":2951},[614],[571,2953],{"className":2954},[857,858],[571,2956,2958],{"className":2957},[680],[571,2959,2961,3039],{"className":2960},[732,733],[571,2962,2964,3036],{"className":2963},[737],[571,2965,2968,2983,2993],{"className":2966,"style":2967},[741],"height:1.0179em;",[571,2969,2971,2974],{"style":2970},"top:-2.655em;",[571,2972],{"className":2973,"style":752},[751],[571,2975,2977],{"className":2976},[844,845,846,847],[571,2978,2980],{"className":2979},[614,847],[571,2981,1267],{"className":2982},[614,847],[571,2984,2986,2989],{"style":2985},"top:-3.23em;",[571,2987],{"className":2988,"style":752},[751],[571,2990],{"className":2991,"style":2992},[899],"border-bottom-width:0.04em;",[571,2994,2996,2999],{"style":2995},"top:-3.394em;",[571,2997],{"className":2998,"style":752},[751],[571,3000,3002],{"className":3001},[844,845,846,847],[571,3003,3005],{"className":3004},[614,847],[571,3006,3008,3011],{"className":3007},[614,847],[571,3009,1264],{"className":3010},[614,847],[571,3012,3014],{"className":3013},[824],[571,3015,3017],{"className":3016},[732],[571,3018,3020],{"className":3019},[737],[571,3021,3024],{"className":3022,"style":3023},[741],"height:0.8913em;",[571,3025,3027,3030],{"style":3026},"top:-2.931em;margin-right:0.0714em;",[571,3028],{"className":3029,"style":959},[751],[571,3031,3033],{"className":3032},[844,859,883,847],[571,3034,688],{"className":3035},[614,847],[571,3037,787],{"className":3038},[786],[571,3040,3042],{"className":3041},[737],[571,3043,3046],{"className":3044,"style":3045},[741],"height:0.345em;",[571,3047],{},[571,3049],{"className":3050},[931,858]," lesen. Der ganze Bruch ist der Exponent.",[2379,3053,3054,3055,3204,3205,3310],{},"Bei negativer Basis anwenden: ",[571,3056,3058,3088],{"className":3057},[574],[571,3059,3061],{"className":3060},[578],[580,3062,3063],{"xmlns":582},[584,3064,3065,3085],{},[587,3066,3067,3070,3073,3075],{},[671,3068,1538],{"stretchy":3069},"false",[671,3071,3072],{},"−",[683,3074,1264],{},[675,3076,3077,3079],{},[671,3078,1547],{"stretchy":3069},[680,3080,3081,3083],{},[683,3082,685],{},[683,3084,1267],{},[594,3086,3087],{"encoding":596},"(-8)^{\\frac{1}{3}}",[571,3089,3091],{"className":3090,"ariaHidden":601},[600],[571,3092,3094,3098,3101,3104,3107],{"className":3093},[605],[571,3095],{"className":3096,"style":3097},[609],"height:1.204em;vertical-align:-0.25em;",[571,3099,1538],{"className":3100},[857],[571,3102,3072],{"className":3103},[614],[571,3105,1264],{"className":3106},[614],[571,3108,3110,3113],{"className":3109},[931],[571,3111,1547],{"className":3112},[931],[571,3114,3116],{"className":3115},[824],[571,3117,3119],{"className":3118},[732],[571,3120,3122],{"className":3121},[737],[571,3123,3125],{"className":3124,"style":2548},[741],[571,3126,3127,3130],{"style":2569},[571,3128],{"className":3129,"style":752},[751],[571,3131,3133],{"className":3132},[844,845,846,847],[571,3134,3136],{"className":3135},[614,847],[571,3137,3139,3142,3201],{"className":3138},[614,847],[571,3140],{"className":3141},[857,858,844,859,860],[571,3143,3145],{"className":3144},[680],[571,3146,3148,3193],{"className":3147},[732,733],[571,3149,3151,3190],{"className":3150},[737],[571,3152,3154,3168,3176],{"className":3153,"style":873},[741],[571,3155,3156,3159],{"style":876},[571,3157],{"className":3158,"style":752},[751],[571,3160,3162],{"className":3161},[844,859,883,847],[571,3163,3165],{"className":3164},[614,847],[571,3166,1267],{"className":3167},[614,847],[571,3169,3170,3173],{"style":892},[571,3171],{"className":3172,"style":752},[751],[571,3174],{"className":3175,"style":900},[899,847],[571,3177,3178,3181],{"style":903},[571,3179],{"className":3180,"style":752},[751],[571,3182,3184],{"className":3183},[844,859,883,847],[571,3185,3187],{"className":3186},[614,847],[571,3188,685],{"className":3189},[614,847],[571,3191,787],{"className":3192},[786],[571,3194,3196],{"className":3195},[737],[571,3197,3199],{"className":3198,"style":925},[741],[571,3200],{},[571,3202],{"className":3203},[931,858,844,859,860]," ist mit dieser Regel nicht definiert, obwohl ",[571,3206,3208,3238],{"className":3207},[574],[571,3209,3211],{"className":3210},[578],[580,3212,3213],{"xmlns":582},[584,3214,3215,3235],{},[587,3216,3217,3219,3221,3223,3229,3231,3233],{},[671,3218,1538],{"stretchy":3069},[671,3220,3072],{},[683,3222,688],{},[675,3224,3225,3227],{},[671,3226,1547],{"stretchy":3069},[683,3228,1267],{},[671,3230,673],{},[671,3232,3072],{},[683,3234,1264],{},[594,3236,3237],{"encoding":596},"(-2)^3 = -8",[571,3239,3241,3297],{"className":3240,"ariaHidden":601},[600],[571,3242,3244,3248,3251,3254,3257,3288,3291,3294],{"className":3243},[605],[571,3245],{"className":3246,"style":3247},[609],"height:1.0641em;vertical-align:-0.25em;",[571,3249,1538],{"className":3250},[857],[571,3252,3072],{"className":3253},[614],[571,3255,688],{"className":3256},[614],[571,3258,3260,3263],{"className":3259},[931],[571,3261,1547],{"className":3262},[931],[571,3264,3266],{"className":3265},[824],[571,3267,3269],{"className":3268},[732],[571,3270,3272],{"className":3271},[737],[571,3273,3276],{"className":3274,"style":3275},[741],"height:0.8141em;",[571,3277,3279,3282],{"style":3278},"top:-3.063em;margin-right:0.05em;",[571,3280],{"className":3281,"style":1803},[751],[571,3283,3285],{"className":3284},[844,845,846,847],[571,3286,1267],{"className":3287},[614,847],[571,3289],{"className":3290,"style":800},[690],[571,3292,673],{"className":3293},[804],[571,3295],{"className":3296,"style":800},[690],[571,3298,3300,3304,3307],{"className":3299},[605],[571,3301],{"className":3302,"style":3303},[609],"height:0.7278em;vertical-align:-0.0833em;",[571,3305,3072],{"className":3306},[614],[571,3308,1264],{"className":3309},[614]," ist.",{"title":3312,"searchDepth":3313,"depth":3313,"links":3314},"",2,[3315,3316,3317],{"id":560,"depth":3313,"text":561},{"id":1243,"depth":3313,"text":1244},{"id":2373,"depth":3313,"text":2374},[3319,3325,3328,3330,3332],{"lhs":3320,"rhs":3321,"where":3322},"nthRoot(a^m, n)","a^(m\u002Fn)",{"m":3323,"n":3324},3,4,{"lhs":3326,"rhs":3327},"sqrt(x)","x^(1\u002F2)",{"lhs":3329,"rhs":688},"nthRoot(8, 3)",{"lhs":3331,"rhs":1562},"8^(2\u002F3)",{"lhs":3333,"rhs":1264},"nthRoot(16^3, 4)","a \\geq 0\\ (a > 0 \\text{ für } m \u003C 0),\\ m \\in \\mathbb{Z},\\ n \\in \\mathbb{N},\\ n \\geq 2","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext> \u003C\u002Fmtext>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmrow>\u003Cmtext> f\u003C\u002Fmtext>\u003Cmover accent=\"true\">\u003Cmtext>u\u003C\u002Fmtext>\u003Cmo>¨\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmtext>r \u003C\u002Fmtext>\u003C\u002Fmrow>\u003Cmi>m\u003C\u002Fmi>\u003Cmo><\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\geq 0\\ (a > 0 \\text{ für } m < 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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mspace\"> \u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\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:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\"> f\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6679em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">u\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.25em;\">\u003Cspan class=\"mord\">¨\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">r \u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">m\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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>m\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">Z\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m \\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\">m\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">Z\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\in \\mathbb{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:0.5782em;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:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">N\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>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 2\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:0.7719em;vertical-align:-0.136em;\">\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","root-as-power","\\sqrt[n]{a^m} = a^{\\frac{m}{n}}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmroot>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmroot>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmfrac>\u003Cmi>m\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmfrac>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sqrt[n]{a^m} = a^{\\frac{m}{n}}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.04em;vertical-align:-0.1109em;\">\u003C\u002Fspan>\u003Cspan class=\"mord sqrt\">\u003Cspan class=\"katex-root\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7062em;\">\u003Cspan style=\"top:-2.9909em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size1 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9291em;\">\u003Cspan class=\"svg-align\" style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\" style=\"padding-left:0.833em;\">\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\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.8891em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"hide-tail\" style=\"min-width:0.853em;height:1.08em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"400em\" height=\"1.08em\" viewBox=\"0 0 400000 1080\" preserveAspectRatio=\"xMinYMin slice\">\u003Cpath d=\"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1109em;\">\u003Cspan>\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\" 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