Algebra Examples

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

Step 1

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

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Multiply $4$ by $5$ .

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