# How do you simplify (-5)(-5)^4?

Jun 13, 2015

 = color(blue)(-3125

#### Explanation:

${\left(- 5\right)}^{1} {\left(- 5\right)}^{4}$

Nite: color(blue)(a^m . a^n = a^(m+n)
Applying the above to the exponents of $- 5$

$= {\left(- 5\right)}^{1 + 4}$
$= - {5}^{5}$
 = color(blue)(-3125