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

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

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$3^{\frac{1}{2}} \cdot \sqrt[5]{3^{2}}$

Step 2

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

$3^{\frac{1}{2}} \cdot 3^{\frac{2}{5}}$