Algebra Examples

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

Step 1

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

$\sqrt{x^{3} y^{\frac{1}{3}}}$

Step 2

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

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