# How do you simplify  -7^-4?

Jul 17, 2016

$- \frac{1}{2401}$
Using the $\textcolor{b l u e}{\text{law of exponents}}$
$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m \Leftrightarrow \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
$\Rightarrow - {7}^{- 4} = - 1 {\left(7\right)}^{- 4} = - 1 \times \frac{1}{7} ^ 4 = - \frac{1}{2401}$