Simplify cd cube root of -80c

$c d \sqrt[3]{- 80 c}$

Step 1

Rewrite $- 80 c$ as ${(- 2)}^{3} \cdot (10 c)$ .

Factor $- 8$ out of $- 80$ .

$c d \sqrt[3]{- 8 (10) c}$

Rewrite $- 8$ as ${(- 2)}^{3}$ .

$c d \sqrt[3]{{(- 2)}^{3} \cdot 10 c}$

Add parentheses.

$c d \sqrt[3]{{(- 2)}^{3} \cdot (10 c)}$

Step 2

Pull terms out from under the radical.

$c d (- 2 \sqrt[3]{10 c})$

Step 3

Rewrite using the commutative property of multiplication.

$- 2 c d \sqrt[3]{10 c}$