Algebra Examples

$\sqrt[5]{\sqrt{a}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{a}$ as $a^{\frac{1}{2}}$ .

$\sqrt[5]{a^{\frac{1}{2}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{a^{\frac{1}{2}}}$ as $a^{\frac{\frac{1}{2}}{5}}$ .

$a^{\frac{\frac{1}{2}}{5}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$a^{\frac{1}{2} \cdot \frac{1}{5}}$

Step 4

Multiply $\frac{1}{2} \cdot \frac{1}{5}$ .

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Step 4.1

Multiply $\frac{1}{2}$ by $\frac{1}{5}$ .

$a^{\frac{1}{2 \cdot 5}}$

Step 4.2

Multiply $2$ by $5$ .

$a^{\frac{1}{10}}$