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= 2^6 = 64",[572,1177,1179,1264,1308],{"className":1178,"ariaHidden":612},[611],[572,1180,1182,1185,1255,1258,1261],{"className":1181},[616],[572,1183],{"className":1184,"style":843},[620],[572,1186,1188,1232],{"className":1187},[847],[572,1189,1191,1197,1226],{"className":1190},[847],[572,1192,1194],{"className":1193,"style":856},[854,855],[572,1195,776],{"className":1196},[860,861],[572,1198,1200,1203],{"className":1199},[625],[572,1201,789],{"className":1202},[625],[572,1204,1206],{"className":1205},[871],[572,1207,1209],{"className":1208},[875],[572,1210,1212],{"className":1211},[879],[572,1213,1215],{"className":1214,"style":884},[883],[572,1216,1217,1220],{"style":887},[572,1218],{"className":1219,"style":892},[891],[572,1221,1223],{"className":1222},[896,897,898,899],[572,1224,783],{"className":1225},[625,899],[572,1227,1229],{"className":1228,"style":856},[906,855],[572,1230,786],{"className":1231},[860,861],[572,1233,1235],{"className":1234},[871],[572,1236,1238],{"className":1237},[875],[572,1239,1241],{"className":1240},[879],[572,1242,1244],{"className":1243,"style":922},[883],[572,1245,1246,1249],{"style":925},[572,1247],{"className":1248,"style":892},[891],[572,1250,1252],{"className":1251},[896,897,898,899],[572,1253,789],{"className":1254},[625,899],[572,1256],{"className":1257,"style":631},[630],[572,1259,676],{"className":1260},[635],[572,1262],{"className":1263,"style":631},[630],[572,1265,1267,1270,1299,1302,1305],{"className":1266},[616],[572,1268],{"className":1269,"style":884},[620],[572,1271,1273,1276],{"className":1272},[625],[572,1274,789],{"className":1275},[625],[572,1277,1279],{"className":1278},[871],[572,1280,1282],{"className":1281},[875],[572,1283,1285],{"className":1284},[879],[572,1286,1288],{"className":1287,"style":884},[883],[572,1289,1290,1293],{"style":887},[572,1291],{"className":1292,"style":892},[891],[572,1294,1296],{"className":1295},[896,897,898,899],[572,1297,830],{"className":1298},[625,899],[572,1300],{"className":1301,"style":631},[630],[572,1303,676],{"className":1304},[635],[572,1306],{"className":1307,"style":631},[630],[572,1309,1311,1314],{"className":1310},[616],[572,1312],{"className":1313,"style":686},[620],[572,1315,1172],{"className":1316},[625],[572,1318,1320],{"className":1319},[755],[572,1321,1323,1362],{"className":1322},[575],[572,1324,1326],{"className":1325},[579],[581,1327,1328],{"xmlns":583,"display":764},[585,1329,1330,1359],{},[588,1331,1332,1350,1352],{},[770,1333,1334,1347],{},[588,1335,1336,1338,1345],{},[595,1337,776],{"fence":612},[770,1339,1340,1343],{},[591,1341,1342],{},"x",[600,1344,789],{},[595,1346,786],{"fence":612},[600,1348,1349],{},"5",[595,1351,676],{},[770,1353,1354,1356],{},[591,1355,1342],{},[600,1357,1358],{},"10",[604,1360,1361],{"encoding":606},"\\left(x^2\\right)^5 = x^{10}",[572,1363,1365,1450],{"className":1364,"ariaHidden":612},[611],[572,1366,1368,1371,1441,1444,1447],{"className":1367},[616],[572,1369],{"className":1370,"style":843},[620],[572,1372,1374,1418],{"className":1373},[847],[572,1375,1377,1383,1412],{"className":1376},[847],[572,1378,1380],{"className":1379,"style":856},[854,855],[572,1381,776],{"className":1382},[860,861],[572,1384,1386,1389],{"className":1385},[625],[572,1387,1342],{"className":1388},[625,626],[572,1390,1392],{"className":1391},[871],[572,1393,1395],{"className":1394},[875],[572,1396,1398],{"className":1397},[879],[572,1399,1401],{"className":1400,"style":884},[883],[572,1402,1403,1406],{"style":887},[572,1404],{"className":1405,"style":892},[891],[572,1407,1409],{"className":1408},[896,897,898,899],[572,1410,789],{"className":1411},[625,899],[572,1413,1415],{"className":1414,"style":856},[906,855],[572,1416,786],{"className":1417},[860,861],[572,1419,1421],{"className":1420},[871],[572,1422,1424],{"className":1423},[875],[572,1425,1427],{"className":1426},[879],[572,1428,1430],{"className":1429,"style":922},[883],[572,1431,1432,1435],{"style":925},[572,1433],{"className":1434,"style":892},[891],[572,1436,1438],{"className":1437},[896,897,898,899],[572,1439,1349],{"className":1440},[625,899],[572,1442],{"className":1443,"style":631},[630],[572,1445,676],{"className":1446},[635],[572,1448],{"className":1449,"style":631},[630],[572,1451,1453,1456],{"className":1452},[616],[572,1454],{"className":1455,"style":884},[620],[572,1457,1459,1462],{"className":1458},[625],[572,1460,1342],{"className":1461},[625,626],[572,1463,1465],{"className":1464},[871],[572,1466,1468],{"className":1467},[875],[572,1469,1471],{"className":1470},[879],[572,1472,1474],{"className":1473,"style":884},[883],[572,1475,1476,1479],{"style":887},[572,1477],{"className":1478,"style":892},[891],[572,1480,1482],{"className":1481},[896,897,898,899],[572,1483,1485],{"className":1484},[625,899],[572,1486,1358],{"className":1487},[625,899],[558,1489,1491],{"id":1490},"typische-fehler","Typische Fehler",[1493,1494,1495,1700,2010],"ul",{},[1496,1497,1498,1499,744],"li",{},"Exponenten addieren statt multiplizieren: ",[572,1500,1502,1539],{"className":1501},[575],[572,1503,1505],{"className":1504},[579],[581,1506,1507],{"xmlns":583},[585,1508,1509,1536],{},[588,1510,1511,1527,1529],{},[770,1512,1513,1525],{},[588,1514,1515,1517,1523],{},[595,1516,776],{"fence":612},[770,1518,1519,1521],{},[591,1520,1342],{},[600,1522,789],{},[595,1524,786],{"fence":612},[600,1526,1349],{},[595,1528,598],{"mathvariant":597},[770,1530,1531,1533],{},[591,1532,1342],{},[600,1534,1535],{},"7",[604,1537,1538],{"encoding":606},"\\left(x^2\\right)^5 \\neq x^7",[572,1540,1542,1665],{"className":1541,"ariaHidden":612},[611],[572,1543,1545,1549,1623,1626,1662],{"className":1544},[616],[572,1546],{"className":1547,"style":1548},[620],"height:1.404em;vertical-align:-0.35em;",[572,1550,1552,1598],{"className":1551},[847],[572,1553,1555,1561,1592],{"className":1554},[847],[572,1556,1558],{"className":1557,"style":856},[854,855],[572,1559,776],{"className":1560},[860,861],[572,1562,1564,1567],{"className":1563},[625],[572,1565,1342],{"className":1566},[625,626],[572,1568,1570],{"className":1569},[871],[572,1571,1573],{"className":1572},[875],[572,1574,1576],{"className":1575},[879],[572,1577,1580],{"className":1578,"style":1579},[883],"height:0.8141em;",[572,1581,1583,1586],{"style":1582},"top:-3.063em;margin-right:0.05em;",[572,1584],{"className":1585,"style":892},[891],[572,1587,1589],{"className":1588},[896,897,898,899],[572,1590,789],{"className":1591},[625,899],[572,1593,1595],{"className":1594,"style":856},[906,855],[572,1596,786],{"className":1597},[860,861],[572,1599,1601],{"className":1600},[871],[572,1602,1604],{"className":1603},[875],[572,1605,1607],{"className":1606},[879],[572,1608,1611],{"className":1609,"style":1610},[883],"height:1.054em;",[572,1612,1614,1617],{"style":1613},"top:-3.3029em;margin-right:0.05em;",[572,1615],{"className":1616,"style":892},[891],[572,1618,1620],{"className":1619},[896,897,898,899],[572,1621,1349],{"className":1622},[625,899],[572,1624],{"className":1625,"style":631},[630],[572,1627,1629,1656,1659],{"className":1628},[635],[572,1630,1632],{"className":1631},[635],[572,1633,1635],{"className":1634},[625,642],[572,1636,1638],{"className":1637},[646],[572,1639,1641,1644,1653],{"className":1640},[650],[572,1642],{"className":1643,"style":621},[620],[572,1645,1647],{"className":1646},[657],[572,1648,1650],{"className":1649},[625],[572,1651,664],{"className":1652},[635],[572,1654],{"className":1655},[668],[572,1657],{"className":1658},[630,672],[572,1660,676],{"className":1661},[635],[572,1663],{"className":1664,"style":631},[630],[572,1666,1668,1671],{"className":1667},[616],[572,1669],{"className":1670,"style":1579},[620],[572,1672,1674,1677],{"className":1673},[625],[572,1675,1342],{"className":1676},[625,626],[572,1678,1680],{"className":1679},[871],[572,1681,1683],{"className":1682},[875],[572,1684,1686],{"className":1685},[879],[572,1687,1689],{"className":1688,"style":1579},[883],[572,1690,1691,1694],{"style":1582},[572,1692],{"className":1693,"style":892},[891],[572,1695,1697],{"className":1696},[896,897,898,899],[572,1698,1535],{"className":1699},[625,899],[1496,1701,1702,1703,1835,1836,2009],{},"Klammern weglassen: ",[572,1704,1706,1738],{"className":1705},[575],[572,1707,1709],{"className":1708},[579],[581,1710,1711],{"xmlns":583},[585,1712,1713,1735],{},[588,1714,1715,1731,1733],{},[770,1716,1717,1729],{},[588,1718,1719,1721,1727],{},[595,1720,776],{"fence":612},[770,1722,1723,1725],{},[600,1724,789],{},[600,1726,783],{},[595,1728,786],{"fence":612},[600,1730,789],{},[595,1732,676],{},[600,1734,1172],{},[604,1736,1737],{"encoding":606},"\\left(2^3\\right)^2 = 64",[572,1739,1741,1826],{"className":1740,"ariaHidden":612},[611],[572,1742,1744,1747,1817,1820,1823],{"className":1743},[616],[572,1745],{"className":1746,"style":1548},[620],[572,1748,1750,1794],{"className":1749},[847],[572,1751,1753,1759,1788],{"className":1752},[847],[572,1754,1756],{"className":1755,"style":856},[854,855],[572,1757,776],{"className":1758},[860,861],[572,1760,1762,1765],{"className":1761},[625],[572,1763,789],{"className":1764},[625],[572,1766,1768],{"className":1767},[871],[572,1769,1771],{"className":1770},[875],[572,1772,1774],{"className":1773},[879],[572,1775,1777],{"className":1776,"style":1579},[883],[572,1778,1779,1782],{"style":1582},[572,1780],{"className":1781,"style":892},[891],[572,1783,1785],{"className":1784},[896,897,898,899],[572,1786,783],{"className":1787},[625,899],[572,1789,1791],{"className":1790,"style":856},[906,855],[572,1792,786],{"className":1793},[860,861],[572,1795,1797],{"className":1796},[871],[572,1798,1800],{"className":1799},[875],[572,1801,1803],{"className":1802},[879],[572,1804,1806],{"className":1805,"style":1610},[883],[572,1807,1808,1811],{"style":1613},[572,1809],{"className":1810,"style":892},[891],[572,1812,1814],{"className":1813},[896,897,898,899],[572,1815,789],{"className":1816},[625,899],[572,1818],{"className":1819,"style":631},[630],[572,1821,676],{"className":1822},[635],[572,1824],{"className":1825,"style":631},[630],[572,1827,1829,1832],{"className":1828},[616],[572,1830],{"className":1831,"style":686},[620],[572,1833,1172],{"className":1834},[625],", aber ",[572,1837,1839,1875],{"className":1838},[575],[572,1840,1842],{"className":1841},[579],[581,1843,1844],{"xmlns":583},[585,1845,1846,1872],{},[588,1847,1848,1858,1860,1867,1869],{},[770,1849,1850,1852],{},[600,1851,789],{},[770,1853,1854,1856],{},[600,1855,783],{},[600,1857,789],{},[595,1859,676],{},[770,1861,1862,1864],{},[600,1863,789],{},[600,1865,1866],{},"9",[595,1868,676],{},[600,1870,1871],{},"512",[604,1873,1874],{"encoding":606},"2^{3^2} = 2^9 = 512",[572,1876,1878,1956,2000],{"className":1877,"ariaHidden":612},[611],[572,1879,1881,1885,1947,1950,1953],{"className":1880},[616],[572,1882],{"className":1883,"style":1884},[620],"height:0.9869em;",[572,1886,1888,1891],{"className":1887},[625],[572,1889,789],{"className":1890},[625],[572,1892,1894],{"className":1893},[871],[572,1895,1897],{"className":1896},[875],[572,1898,1900],{"className":1899},[879],[572,1901,1903],{"className":1902,"style":1884},[883],[572,1904,1905,1908],{"style":1582},[572,1906],{"className":1907,"style":892},[891],[572,1909,1911],{"className":1910},[896,897,898,899],[572,1912,1914],{"className":1913},[625,899],[572,1915,1917,1920],{"className":1916},[625,899],[572,1918,783],{"className":1919},[625,899],[572,1921,1923],{"className":1922},[871],[572,1924,1926],{"className":1925},[875],[572,1927,1929],{"className":1928},[879],[572,1930,1933],{"className":1931,"style":1932},[883],"height:0.8913em;",[572,1934,1936,1940],{"style":1935},"top:-2.931em;margin-right:0.0714em;",[572,1937],{"className":1938,"style":1939},[891],"height:2.5em;",[572,1941,1944],{"className":1942},[896,1943,861,899],"reset-size3",[572,1945,789],{"className":1946},[625,899],[572,1948],{"className":1949,"style":631},[630],[572,1951,676],{"className":1952},[635],[572,1954],{"className":1955,"style":631},[630],[572,1957,1959,1962,1991,1994,1997],{"className":1958},[616],[572,1960],{"className":1961,"style":1579},[620],[572,1963,1965,1968],{"className":1964},[625],[572,1966,789],{"className":1967},[625],[572,1969,1971],{"className":1970},[871],[572,1972,1974],{"className":1973},[875],[572,1975,1977],{"className":1976},[879],[572,1978,1980],{"className":1979,"style":1579},[883],[572,1981,1982,1985],{"style":1582},[572,1983],{"className":1984,"style":892},[891],[572,1986,1988],{"className":1987},[896,897,898,899],[572,1989,1866],{"className":1990},[625,899],[572,1992],{"className":1993,"style":631},[630],[572,1995,676],{"className":1996},[635],[572,1998],{"className":1999,"style":631},[630],[572,2001,2003,2006],{"className":2002},[616],[572,2004],{"className":2005,"style":686},[620],[572,2007,1871],{"className":2008},[625],". Ohne Klammer wird der obere Exponent zuerst berechnet.",[1496,2011,2012,2013,1835,2108,744],{},"Negative Basis ohne Klammer: ",[572,2014,2016,2044],{"className":2015},[575],[572,2017,2019],{"className":2018},[579],[581,2020,2021],{"xmlns":583},[585,2022,2023,2041],{},[588,2024,2025,2028,2034,2036,2038],{},[595,2026,2027],{},"−",[770,2029,2030,2032],{},[600,2031,789],{},[600,2033,789],{},[595,2035,676],{},[595,2037,2027],{},[600,2039,2040],{},"4",[604,2042,2043],{"encoding":606},"-2^2 = -4",[572,2045,2047,2095],{"className":2046,"ariaHidden":612},[611],[572,2048,2050,2054,2057,2086,2089,2092],{"className":2049},[616],[572,2051],{"className":2052,"style":2053},[620],"height:0.8974em;vertical-align:-0.0833em;",[572,2055,2027],{"className":2056},[625],[572,2058,2060,2063],{"className":2059},[625],[572,2061,789],{"className":2062},[625],[572,2064,2066],{"className":2065},[871],[572,2067,2069],{"className":2068},[875],[572,2070,2072],{"className":2071},[879],[572,2073,2075],{"className":2074,"style":1579},[883],[572,2076,2077,2080],{"style":1582},[572,2078],{"className":2079,"style":892},[891],[572,2081,2083],{"className":2082},[896,897,898,899],[572,2084,789],{"className":2085},[625,899],[572,2087],{"className":2088,"style":631},[630],[572,2090,676],{"className":2091},[635],[572,2093],{"className":2094,"style":631},[630],[572,2096,2098,2102,2105],{"className":2097},[616],[572,2099],{"className":2100,"style":2101},[620],"height:0.7278em;vertical-align:-0.0833em;",[572,2103,2027],{"className":2104},[625],[572,2106,2040],{"className":2107},[625],[572,2109,2111,2140],{"className":2110},[575],[572,2112,2114],{"className":2113},[579],[581,2115,2116],{"xmlns":583},[585,2117,2118,2137],{},[588,2119,2120,2123,2125,2127,2133,2135],{},[595,2121,776],{"stretchy":2122},"false",[595,2124,2027],{},[600,2126,789],{},[770,2128,2129,2131],{},[595,2130,786],{"stretchy":2122},[600,2132,789],{},[595,2134,676],{},[600,2136,2040],{},[604,2138,2139],{"encoding":606},"(-2)^2 = 4",[572,2141,2143,2197],{"className":2142,"ariaHidden":612},[611],[572,2144,2146,2150,2153,2156,2159,2188,2191,2194],{"className":2145},[616],[572,2147],{"className":2148,"style":2149},[620],"height:1.0641em;vertical-align:-0.25em;",[572,2151,776],{"className":2152},[854],[572,2154,2027],{"className":2155},[625],[572,2157,789],{"className":2158},[625],[572,2160,2162,2165],{"className":2161},[906],[572,2163,786],{"className":2164},[906],[572,2166,2168],{"className":2167},[871],[572,2169,2171],{"className":2170},[875],[572,2172,2174],{"className":2173},[879],[572,2175,2177],{"className":2176,"style":1579},[883],[572,2178,2179,2182],{"style":1582},[572,2180],{"className":2181,"style":892},[891],[572,2183,2185],{"className":2184},[896,897,898,899],[572,2186,789],{"className":2187},[625,899],[572,2189],{"className":2190,"style":631},[630],[572,2192,676],{"className":2193},[635],[572,2195],{"className":2196,"style":631},[630],[572,2198,2200,2203],{"className":2199},[616],[572,2201],{"className":2202,"style":686},[620],[572,2204,2040],{"className":2205},[625],{"title":2207,"searchDepth":2208,"depth":2208,"links":2209},"",2,[2210,2211,2212,2213],{"id":560,"depth":2208,"text":561},{"id":747,"depth":2208,"text":748},{"id":1127,"depth":2208,"text":1128},{"id":1490,"depth":2208,"text":1491},[2215,2217,2219,2222],{"lhs":552,"rhs":2216},"a^(m*n)",{"lhs":2218,"rhs":1172},"(2^3)^2",{"lhs":2220,"rhs":2221},"(x^2)^5","x^10",{"lhs":2223,"rhs":1871},"2^(3^2)","m, n \\in \\mathbb{Z},\\ a \\neq 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>m\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">Z\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m, n \\in \\mathbb{Z},\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">Z\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\neq 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","nUAyiKfvNAhlrXBEWbGv_DBDwln6C8h1Ny7c7NnZxl0",[2257,2260],{"stem":2258,"title":2259,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fpotenzen-gleicher-basis-multiplizieren","Potenzen mit gleicher Basis multiplizieren",{"stem":2261,"title":2262,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fwurzel-als-potenz","Wurzel als Potenz",1793824272958]