Summary of Exponent Laws

    \begin{align*}{a^m \times a^n &= a^{m+n} \\[15pt] a^m \div a^n &= a^{m - n} \\[15pt] a^{-n}&=\frac{1}{a^n} \\[15pt] a^0&=1 \\[15pt] (a^m)^n&=a^{mn} \\[15pt] (a\cdot b)^n&=a^n \times b^n \\[15pt] \Big(\frac{a}{b}\Big)^n&=\frac{a^n}{b^n}}\end{align*}