# How do you simplify 2^-6?

Feb 29, 2016

$\frac{1}{64}$
Using the following $\textcolor{b l u e}{\text{ law of exponents }}$
${a}^{- m} = \frac{1}{a} ^ m \Leftrightarrow \frac{1}{a} ^ m = {a}^{- m}$
$\Rightarrow {2}^{- 6} = \frac{1}{2} ^ 6 = \frac{1}{64}$