Simplify ( cube root of 54)÷( cube root of 2)

$\sqrt[3]{54} \div \sqrt[3]{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt[3]{54}}{\sqrt[3]{2}}$

Step 2

Combine $\sqrt[3]{54}$ and $\sqrt[3]{2}$ into a single radical.

$\sqrt[3]{\frac{54}{2}}$

Step 3

Simplify the expression.

Divide $54$ by $2$ .

$\sqrt[3]{27}$

Rewrite $27$ as $3^{3}$ .

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

Step 4

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

$3$