Write the Fraction in Simplest Form ( cube root of 10)÷( cube root of 2)

$\sqrt[3]{10} \div \sqrt[3]{2}$

Rewrite the division as a fraction.

$\frac{\sqrt[3]{10}}{\sqrt[3]{2}}$

Combine $\sqrt[3]{10}$ and $\sqrt[3]{2}$ into a single radical.

$\sqrt[3]{\frac{10}{2}}$

Divide $10$ by $2$ .

$\sqrt[3]{5}$