# How do you evaluate (-2)^5?

Mar 7, 2018

-32

#### Explanation:

$- 2 \cdot - 2 = 4$ or $\left(- {2}^{2}\right)$
$4 \cdot - 2 = - 8$ or $\left(- {2}^{3}\right)$
$- 8 \cdot - 2 = 16$ or $\left(- {2}^{4}\right)$
$16 \cdot - 2 = - 32$ or $\left(- {2}^{5}\right)$

Mar 7, 2018

$- 32$

#### Explanation:

The exponent represents the number of times that $\left(- 2\right)$ is multiplied by itself.

The easiest way to evaluate this, is to rewrite it out like such:

$\left(- 2\right) \left(- 2\right) \left(- 2\right) \left(- 2\right) \left(- 2\right)$

From here it is just simple multiplication:

$\left(- 2\right) \left(- 2\right) \left(- 2\right) \left(- 2\right) \left(- 2\right)$

$\left(4\right) \left(- 2\right) \left(- 2\right) \left(- 2\right)$

$\left(4\right) \left(4\right) \left(- 2\right)$

$\left(16\right) \left(- 2\right)$

$\left(- 32\right)$