Question

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

Answer 1

See below.

Explanation:

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

`(-2c^2)^3=-8c^6`

Multiplying the outside term (`-5c^2`) with this,

`-5c^2 (-2c^2)^3=-5c^2\cdot -8c^6=40c^8`