# What is the difference between (-2)^4 and -2^4?

May 10, 2016

${\left(- 2\right)}^{4} = 16$
$- {2}^{4} = - 16$

#### Explanation:

A negative sign prior to a number is not included in the base of an exponent unless specified using parentheses.

${\left(- 2\right)}^{4} = - 2 \times - 2 \times - 2 \times - 2 = 16$

$- {2}^{4} = - \left(2 \times 2 \times 2 \times 2\right) = - 16$