Write in Exponential Form cube root of 6^5* fourth root of 6^5

$\sqrt[3]{6^{5}} \cdot \sqrt[4]{6^{5}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{6^{5}}$ as $6^{\frac{5}{3}}$ .

$6^{\frac{5}{3}} \cdot \sqrt[4]{6^{5}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{6^{5}}$ as $6^{\frac{5}{4}}$ .

$6^{\frac{5}{3}} \cdot 6^{\frac{5}{4}}$