Algebra Examples

$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{5^{3}}$ as $5^{\frac{3}{4}}$ .

$5^{\frac{3}{4}} \cdot \sqrt[6]{5}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{5}$ as $5^{\frac{1}{6}}$ .

$5^{\frac{3}{4}} \cdot 5^{\frac{1}{6}}$