# How do you simplify -5c^2 (-2c^2)^3?

Jul 28, 2017

See below.

#### Explanation:

Let's first focus on the expression in the parenthesis.

${\left(- 2 {c}^{2}\right)}^{3} = - 8 {c}^{6}$

Multiplying the outside term ($- 5 {c}^{2}$) with this,

$- 5 {c}^{2} {\left(- 2 {c}^{2}\right)}^{3} = - 5 {c}^{2} \setminus \cdot - 8 {c}^{6} = 40 {c}^{8}$