Evaluate cube root of -16* cube root of 4

$\sqrt[3]{- 16} \cdot \sqrt[3]{4}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{- 16 \cdot 4}$

Step 2

Write the expression using exponents.

Multiply $- 16$ by $4$ .

$\sqrt[3]{- 64}$

Rewrite $- 64$ as ${(- 4)}^{3}$ .

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

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

$- 4$