Simplify ( cube root of 256)/( cube root of 4)

$\frac{\sqrt[3]{256}}{\sqrt[3]{4}}$

Combine $\sqrt[3]{256}$ and $\sqrt[3]{4}$ into a single radical.

$\sqrt[3]{\frac{256}{4}}$

Simplify the expression.

Divide $256$ by $4$ .

$\sqrt[3]{64}$

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

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

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

$4$