Simplify the Radical Expression ( fourth root of 32)/( fourth root of 2)

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

Step 1

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

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

Step 2

Divide $32$ by $2$ .

$\sqrt[4]{16}$

Step 3

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

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

Step 4

Pull terms out from under the radical.

$| 2 |$

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2$