Algebra Examples

$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$

Step 1

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

$\frac{x^{\frac{5}{2}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{z^{10}}$ as $z^{\frac{10}{5}}$ .

$\frac{x^{\frac{5}{2}} y^{4}}{y^{2} z^{\frac{10}{5}}}$

Step 3

Divide $10$ by $5$ .

$\frac{x^{\frac{5}{2}} y^{4}}{y^{2} z^{2}}$