Write in Exponential Form fourth root of cube root of x

$\sqrt[4]{\sqrt[3]{x}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{x}$ as $x^{\frac{1}{3}}$ .

$\sqrt[4]{x^{\frac{1}{3}}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{x^{\frac{1}{3}}}$ as $x^{\frac{\frac{1}{3}}{4}}$ .

$x^{\frac{\frac{1}{3}}{4}}$

Multiply the numerator by the reciprocal of the denominator.

$x^{\frac{1}{3} \cdot \frac{1}{4}}$

Multiply $\frac{1}{3} \cdot \frac{1}{4}$ .

Multiply $\frac{1}{3}$ by $\frac{1}{4}$ .

$x^{\frac{1}{3 \cdot 4}}$

Multiply $3$ by $4$ .

$x^{\frac{1}{12}}$