\begin{frame} \frametitle{Laws of Exponents} \begin{block}{Laws of Exponents} If $a$ and $b$ are positive real numbers, then: \begin{enumerate} \smallskip\pause \item $a^{x+y} = a^x \cdot a^y$ \smallskip\pause\pause\pause\pause\pause \item $a^{x-y} = \frac{a^x}{a^y}$ \smallskip\pause\pause\pause\pause \item $(a^x)^y = a^{xy}$ \smallskip\pause\pause\pause\pause\pause\pause \item $(ab)^x = a^x b^x$ \end{enumerate} \end{block} \setcounter{beamerpauses}{0} \pause\pause\pause \begin{exampleblock}{} \begin{enumerate} \smallskip \item $a^{3+4} = \pause a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a = \pause (a\cdot a\cdot a) \cdot (a\cdot a\cdot a\cdot a) = \pause a^3 \cdot a^4$ \smallskip\pause\pause \item $a^{5-2} = \pause a\cdot a\cdot a =\pause \frac{(a\cdot a\cdot a) \cdot (a\cdot a)}{a\cdot a} = \frac{a^5}{a^2}$ \smallskip\pause\pause \item $(a^2)^3 = \pause (a\cdot a)^3 = \pause (a\cdot a)\cdot (a\cdot a) \cdot (a\cdot a) = \pause a^6 = \pause a^{2\cdot 3}$ \smallskip\pause\pause \item $(ab)^3 =\pause (ab) \cdot (ab) \cdot (ab) =\pause (a\cdot a\cdot a) \cdot (b\cdot b\cdot b) =\pause a^3b^3$ \end{enumerate} \end{exampleblock} \end{frame}