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\chead{\color{black} \Large Rules of Exponents}
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\lfoot{\small   \copyright $\;$ copyright  Hidegkuti,  Powell,  2009}
\rfoot{\small Last revised: March 6, 2009}
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\begin{enumerate}
\item $~~~~~a^{n}\cdot a^{m}=a^{n+m}$

\item $~~~~~\dfrac{a^{n}}{a^{m}}=a^{n-m}$ \ \ \ \ \ \ \ \ \ \ \ $a\not=0$

\item $~~~~~\left( a^{n}\right) ^{m}=a^{nm}$

\item $~~~~~\left( ab\right) ^{n}=a^{n}b^{n}$

\item $~~~~~\left( \dfrac{a}{b}\right) ^{n}=\dfrac{a^{n}}{b^{n}}$ \ \ \ \ \
\ \ \ \ \ \ \ $b\not=0$

\item $~~~~~a^{0}=1$ \ if\ \ \ $a\not=0$ \ \ and $0^{0}$ $\ $is undefined

\item $~~~~~a^{-n}=\dfrac{1}{a^{n}}$ \ \ \ \ \ \ $a\not=0$
\end{enumerate}

\end{document}