Algebra Examples

$\sqrt[3]{y \sqrt{y}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{y}$ as $y^{\frac{1}{2}}$ .

$\sqrt[3]{y \cdot y^{\frac{1}{2}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{y \cdot y^{\frac{1}{2}}}$ as ${(y \cdot y^{\frac{1}{2}})}^{\frac{1}{3}}$ .

${(y \cdot y^{\frac{1}{2}})}^{\frac{1}{3}}$