Simplify ( fourth root of 32)÷( fourth root of 2)

$\sqrt[4]{32} \div \sqrt[4]{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt[4]{32}}{\sqrt[4]{2}}$

Step 2

Combine $\sqrt[4]{32}$ and $\sqrt[4]{2}$ into a single radical.

$\sqrt[4]{\frac{32}{2}}$

Step 3

Simplify the expression.

Divide $32$ by $2$ .

$\sqrt[4]{16}$

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4}}$

Step 4

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

$2$