# How do you simplify 2/3^-2?

Feb 24, 2016

using the $\textcolor{b l u e}{\text{ law of exponents }}$
${a}^{- m} = \frac{1}{{a}^{m}} \Leftrightarrow \frac{1}{{a}^{- m}} = {a}^{m}$
$\frac{2}{{3}^{-} 2} \text{ can now be written as } 2 \times {3}^{2} = 2 \times 9 = 18$