Algebra Examples

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

Step 1

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

$3^{\frac{3}{4}} \cdot \sqrt{3^{5}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3^{5}}$ as $3^{\frac{5}{2}}$ .

$3^{\frac{3}{4}} \cdot 3^{\frac{5}{2}}$