Algebra Examples

$\sqrt{\sqrt[7]{x}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[7]{x}$ as $x^{\frac{1}{7}}$ .

$\sqrt{x^{\frac{1}{7}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x^{\frac{1}{7}}}$ as $x^{\frac{\frac{1}{7}}{2}}$ .

$x^{\frac{\frac{1}{7}}{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$x^{\frac{1}{7} \cdot \frac{1}{2}}$

Step 4

Multiply $\frac{1}{7} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{1}{7}$ by $\frac{1}{2}$ .

$x^{\frac{1}{7 \cdot 2}}$

Step 4.2

Multiply $7$ by $2$ .

$x^{\frac{1}{14}}$