Write in Exponential Form a root of b root of 8

$\sqrt[a]{\sqrt[b]{8}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[b]{8}$ as $8^{\frac{1}{b}}$ .

$\sqrt[a]{8^{\frac{1}{b}}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[a]{8^{\frac{1}{b}}}$ as $8^{\frac{\frac{1}{b}}{a}}$ .

$8^{\frac{\frac{1}{b}}{a}}$

Multiply the numerator by the reciprocal of the denominator.

$8^{\frac{1}{b} \cdot \frac{1}{a}}$

Multiply $\frac{1}{b}$ by $\frac{1}{a}$ .

$8^{\frac{1}{b a}}$