# How do you simplify (-1)^7?

Apr 5, 2018

$- 1$

#### Explanation:

${\left(- 1\right)}^{7}$
= ${\left(- 1\right)}^{2} \times {\left(- 1\right)}^{2} \times {\left(- 1\right)}^{3}$
= $1 \times 1 \times \left(- 1\right)$
=$- 1$

OR you could think that 1 to the power of anything will be 1 and for the negative sign, when the power is odd, the answer will include a negative and when the power is even, the answer will not include a negative