# How do you simplify (-(1/8))^-2?

Sep 1, 2016

$64$

#### Explanation:

Let's rewrite it in a slightly easier form first.

${\left(- \left(\frac{1}{8}\right)\right)}^{-} 2 = {\left(\frac{- 1}{8}\right)}^{-} 2$

The negative index $\Rightarrow$ use the reciprocal of the base.

${\left(- 8\right)}^{2}$

Square of a negative number is a positive.

${\left(- 8\right)}^{2} = 64$