Algebra Examples

$\sqrt[6]{2} \cdot \sqrt{2^{5}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{2}$ as $2^{\frac{1}{6}}$ .

$2^{\frac{1}{6}} \cdot \sqrt{2^{5}}$

Step 2

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

$2^{\frac{1}{6}} \cdot 2^{\frac{5}{2}}$