Write with Rational (Fractional) Exponents square root of 5^3* fifth root of 5^4

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

Step 1

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

$5^{\frac{3}{2}} \cdot \sqrt[5]{5^{4}}$

Step 2

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

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