# How do you simplify (-3)^-4?

Apr 13, 2016

$\frac{1}{81}$

#### Explanation:

Rewrite

$\frac{1}{- 3} ^ 4$

$\frac{1}{\left(- 3\right) \left(- 3\right) \left(- 3\right) \left(- 3\right)} = \frac{1}{81}$

Note we have a negative number raised to an even power so our answer will be a positive number.