Algebra Examples

$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$

Step 1

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

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

Step 2

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

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