Write in Exponential Form fourth root of fifth root of x

$\sqrt[4]{\sqrt[5]{x}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{x}$ as $x^{\frac{1}{5}}$ .

$\sqrt[4]{x^{\frac{1}{5}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{x^{\frac{1}{5}}}$ as $x^{\frac{\frac{1}{5}}{4}}$ .

$x^{\frac{\frac{1}{5}}{4}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$x^{\frac{1}{5} \cdot \frac{1}{4}}$

Step 4

Multiply $\frac{1}{5} \cdot \frac{1}{4}$ .

Multiply $\frac{1}{5}$ by $\frac{1}{4}$ .

$x^{\frac{1}{5 \cdot 4}}$

Multiply $5$ by $4$ .

$x^{\frac{1}{20}}$