# How do you simplify (-3)^-5?

Mar 3, 2018

$- \frac{1}{243}$

#### Explanation:

${x}^{-} a = \frac{1}{x} ^ a$

In other words, whenever a term is raised to a negative power, we can rewrite it as one over the same term raised to that power, but positive.

${\left(- 3\right)}^{- 5} = \frac{1}{- 3} ^ 5 = \frac{1}{- 243} = - \frac{1}{243}$

A negative number raised to an odd power gives back a negative number.