# 指數定律

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## 定律

1. ${\displaystyle x^{m}\times x^{n}=x^{m+n}}$
2. ${\displaystyle x^{-m}={\frac {1}{x^{m}}}={\bigl (}{\frac {1}{x}}{\bigr )}^{m}}$
3. ${\displaystyle {\frac {x^{m}}{x^{n}}}=x^{m-n}}$
4. ${\displaystyle (b^{m})^{n}=b^{mn}}$
5. ${\displaystyle (ab)^{m}=a^{m}\times b^{m}}$
6. ${\displaystyle x^{0}=1\ \forall \ x\neq 0}$
7. ${\displaystyle x^{1}=x}$
8. ${\displaystyle {\sqrt[{n}]{x}}=x^{\frac {1}{n}}}$