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

Feb 10, 2017

$- 8$

#### Explanation:

Consider the example ${a}^{- 1} = \frac{1}{a} ^ 1 = \frac{1}{a}$

But we have:

${\left(- \left(\frac{1}{8}\right)\right)}^{- 1}$which is the same as $\frac{1}{- \frac{1}{8}} ^ 1$

which is the same as: $\text{ } \frac{1}{-} \left(\frac{1}{8}\right)$

which is the same as $\text{ } - \frac{1}{\frac{1}{8}}$

which is the same as $\text{ } - 1 \times \frac{8}{1} = - 8$