Simplify ( cube root of 320)÷( cube root of 5)

$\sqrt[3]{320} \div \sqrt[3]{5}$

Rewrite the division as a fraction.

$\frac{\sqrt[3]{320}}{\sqrt[3]{5}}$

Combine $\sqrt[3]{320}$ and $\sqrt[3]{5}$ into a single radical.

$\sqrt[3]{\frac{320}{5}}$

Simplify the expression.

Divide $320$ by $5$ .

$\sqrt[3]{64}$

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

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

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

$4$