Find the Product cube root of 4* cube root of 16

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

Combine using the product rule for radicals.

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

Simplify the expression.

Multiply $4$ by $16$ .

$\sqrt[3]{64}$

Rewrite $64$ as $4^{3}$ .

$\sqrt[3]{4^{3}}$

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

$4$