\n
\\begin{eqnarray}
a^{0}&=&1\\\\
a^{m} \\div a^{n}&=&a^{m-n}
\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n
\u305d\u308c\u3067\u306f\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\\begin{eqnarray}
\\displaystyle a^{-n}&=&a^{0-n}\\\\
&=&a^{0} \\div a^{n}\\\\
\\displaystyle &=&1 \\div a^{n}\\\\
\\displaystyle &=&\\frac{1}{a^{n}}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u308c\u3067\u30de\u30a4\u30ca\u30b9\u4e57\u306e\u3068\u304d\u306b\u5206\u6570\u306b\u306a\u308b\u3053\u3068\u3092\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u5165\u308c\u3066\u78ba\u304b\u3081\u3066\u307f\u308b\u3068\u3001<\/p>\n\n\n\n
\\(\\displaystyle 2^{-3}=\\frac{1}{8}\\)
\\(\\displaystyle 3^{-2}=\\frac{1}{9}\\)<\/p>\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>\n
\u6307\u6570\u304c\u30de\u30a4\u30ca\u30b9\u306e\u3068\u304d\u306f\u5206\u6570\u306b\u306a\u308b\u3093\u3060\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n\\(\\displaystyle a^{\\frac{1}{n}}=\\sqrt[n]{a}\\)\u306e\u89e3\u8aac<\/h3>\n\n\n\n
\u6307\u6570\u304c\u5206\u6570\u306e\u3068\u304d\u3082\u3042\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n
\\(a\\)\u306e\u6307\u6570\u304c\\(\\frac{1}{n}\\)\u306e\u3068\u304d\u306f\u3001\\(a\\)\u306e\\(n\\)\u4e57\u6839\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n
\\(\\displaystyle a^{\\frac{1}{2}}=\\sqrt{a}\\)<\/p>\n\n\n\n
\\(\\displaystyle a^{\\frac{1}{3}}=\\sqrt[3]{a}\\)<\/p>\n\n\n\n
\u3053\u306e\u6307\u6570\u6cd5\u5247\u3092\u4f7f\u3046\u3053\u3068\u3067\u3001<\/p>\n\n\n\n
\\begin{eqnarray}
a^{\\frac{3}{2}}&=&a \\times a^{\\frac{1}{2}}\\\\
&=&a \\sqrt{a}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u306e\u3088\u3046\u306a\u8a08\u7b97\u3082\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>\n
\u6307\u6570\u306e\u8a08\u7b97\u3067\u30eb\u30fc\u30c8\u304c\u51fa\u3066\u304f\u306e\u304b\u3041<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n
\u30b7\u30fc\u30bf<\/span><\/div>\n
\u3053\u308c\u306b\u306f\u6163\u308c\u3066\u3044\u304f\u3057\u304b\u306a\u3044\u306d<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n\u6307\u6570\u6cd5\u5247\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n\n
\u4eca\u56de\u7d39\u4ecb\u3057\u305f\u6307\u6570\u6cd5\u5247\u3092\u4f7f\u3063\u3066\u3001\u7df4\u7fd2\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n
\u7df4\u7fd2\u554f\u984c<\/span><\/div>\n
\u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n
(1)\u3000\\(a^{3} \\times a^{4}\\)
(2)\u3000\\((a^{2})^{3}\\)
(3)\u3000\\(a^{2} \\times a^{3} \\div a^{7}\\)
(4)\u3000\\(\\displaystyle \\left(\\frac{a}{b}\\right)^{2} \\times \\left(\\frac{a}{b}\\right)^{3}\\)<\/p>\n<\/div><\/div>\n\n\n\n
\u4e0a\u8a18\u306e4\u554f\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
\u6307\u6570\u6cd5\u5247\u306b\u81ea\u4fe1\u304c\u306a\u3044\u65b9\u306f\u30011\u5ea6\u624b\u3092\u52d5\u304b\u3057\u3066\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>\n
\u5168\u554f\u89e3\u3051\u305f\u6c17\u304c\u3059\u308b\uff01\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n
\u30b7\u30fc\u30bf<\/span><\/div>\n
\u305d\u308c\u305e\u308c\u306e\u89e3\u8aac\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n\u7df4\u7fd2\u554f\u984c1\u306e\u89e3\u8aac<\/h3>\n\n\n\n\u7df4\u7fd2\u554f\u984c<\/span><\/div>\n
\u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n
(1)\u3000\\(a^{3} \\times a^{4}\\)<\/p>\n<\/div><\/div>\n\n\n\n
\\begin{eqnarray}
a^{3} \\times a^{4}&=&a^{3+4}\\\\
&=&a^{7}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u306e\u554f\u984c\u3067\u4f7f\u3063\u305f\u6307\u6570\u6cd5\u5247<\/span><\/div>\n
\\[a^{m} \\times a^{n}=a^{m+n}\\]<\/p>\n<\/div><\/div>\n\n\n\n
\u7df4\u7fd2\u554f\u984c2\u306e\u89e3\u8aac<\/h3>\n\n\n\n\u7df4\u7fd2\u554f\u984c<\/span><\/div>\n
\u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n
(2)\u3000\\((a^{2})^{3}\\)<\/p>\n<\/div><\/div>\n\n\n\n
\\begin{eqnarray}
\\left(a^{2} \\right)^{3}&=&a^{2 \\times 3}\\\\
&=&a^{6}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u306e\u554f\u984c\u3067\u4f7f\u3063\u305f\u6307\u6570\u6cd5\u5247<\/span><\/div>\n
\\[\\left(a^{m} \\right)^{n}=a^{mn}\\]<\/p>\n<\/div><\/div>\n\n\n\n
\u7df4\u7fd2\u554f\u984c3\u306e\u89e3\u8aac<\/h3>\n\n\n\n\u7df4\u7fd2\u554f\u984c<\/span><\/div>\n
\u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n
(3)\u3000\\(a^{2} \\times a^{3} \\div a^{7}\\)<\/p>\n<\/div><\/div>\n\n\n\n
\\begin{eqnarray}
a^{2} \\times a^{3} \\div a^{7}&=&a^{2+3-7}\\\\
&=&a^{-2}\\\\
\\displaystyle &=& \\frac{1}{a^{2}}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u306e\u554f\u984c\u3067\u4f7f\u3063\u305f\u6307\u6570\u6cd5\u5247<\/span><\/div>\n
\\begin{eqnarray}
a^{m} \\times a^{n}&=&a^{m+n}\\\\
a^{m} \\div a^{n}&=&a^{m-n}\\\\
\\displaystyle a^{-n}&=&\\frac{1}{a^{n}}
\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n
\u7df4\u7fd2\u554f\u984c4\u306e\u89e3\u8aac<\/h3>\n\n\n\n\u7df4\u7fd2\u554f\u984c<\/span><\/div>\n
\u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n
(4)\u3000\\(\\displaystyle \\left(\\frac{a}{b}\\right)^{2} \\times (\\frac{a}{b})^{3}\\)<\/p>\n<\/div><\/div>\n\n\n\n
\\begin{eqnarray}
\\displaystyle \\left(\\frac{a}{b}\\right)^{2} \\times (\\frac{a}{b})^{3}&=&\\left(\\frac{a}{b}\\right)^{5}\\\\
\\displaystyle &=&\\frac{a^{5}}{b^{5}}
\\end{eqnarray}<\/p>\n\n\n\n
\u3053\u306e\u554f\u984c\u3067\u4f7f\u3063\u305f\u6307\u6570\u6cd5\u5247<\/span><\/div>\n
\\begin{eqnarray}
a^{m} \\times a^{n}=a^{m+n}\\\\
\\displaystyle (\\frac{a}{b})^{n}=\\frac{a^{n}}{b^{n}}
\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n
\u6307\u6570\u6cd5\u5247\u306e\u516c\u5f0f\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n
\u4eca\u56de\u306f\u6307\u6570\u6cd5\u5247\u306e\u91cd\u8981\u306a\u516c\u5f0f\u30928\u3064\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n\u6307\u6570\u6cd5\u5247\u306e\u57fa\u672c\u516c\u5f0f<\/span><\/div>\n
(a\u22600,b\u22600)\u3067\u3001(m,n)\u304c\u6574\u6570\u306e\u3068\u304d<\/p>\n\n\n\n