Algebra Examples

$\sqrt[4]{x^{5}} \cdot \sqrt[5]{x^{2}}$

Step 1

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

$x^{\frac{5}{4}} \cdot \sqrt[5]{x^{2}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{x^{2}}$ as $x^{\frac{2}{5}}$ .

$x^{\frac{5}{4}} \cdot x^{\frac{2}{5}}$