Write with Rational (Fractional) Exponents fifth root of 5^2* square root of 5^3

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

Step 1

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

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

Step 2

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

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