Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

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

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