Algebra Examples

$\sqrt[x]{\sqrt[y]{6}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[y]{6}$ as $6^{\frac{1}{y}}$ .

$\sqrt[x]{6^{\frac{1}{y}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[x]{6^{\frac{1}{y}}}$ as $6^{\frac{\frac{1}{y}}{x}}$ .

$6^{\frac{\frac{1}{y}}{x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$6^{\frac{1}{y} \cdot \frac{1}{x}}$

Step 4

Multiply $\frac{1}{y}$ by $\frac{1}{x}$ .

$6^{\frac{1}{y x}}$