Simplify -10 cube root of 2(-4)

$- 10 \sqrt[3]{2 (- 4)}$

Multiply $2$ by $- 4$ .

$- 10 \sqrt[3]{- 8}$

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

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

Multiply.

Pull terms out from under the radical, assuming real numbers.

$- 10 \cdot - 2$

Multiply $- 10$ by $- 2$ .

$20$