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\lhead{\color{blue} \Large Lecture Notes}
\chead{\color{black} \LARGE Rules of Exponents}
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\lfoot{\small \copyright  \; Hidegkuti, Powell, 2011}
\rfoot{\small Last revised: May 18, 2011}
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%BeginExpansion
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\qquad \qquad \qquad \qquad 1) \ \ \ $a^{n}\cdot a^{m}=a^{n+m}$\bigskip 

\qquad \qquad \qquad \qquad 2) \ \ \ \ \ \ \ $\dfrac{a^{n}}{a^{m}}=a^{n-m}$%
\bigskip 

\qquad \qquad \qquad \qquad 3) \ \ \ \ $\left( a^{n}\right) ^{m}=a^{nm}$%
\bigskip 

\qquad \qquad \qquad \qquad 4) \ \ \ \ \ $\left( ab\right) ^{n}=a^{n}b^{n}$%
\bigskip 

\qquad \qquad \qquad \qquad 5) \ \ \ \ $\left( \dfrac{a}{b}\right) ^{n}=%
\dfrac{a^{n}}{b^{n}}$

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