Write with Rational (Fractional) Exponents square root of a^3 square root of b^5

$\sqrt{a^{3}} \sqrt{b^{5}}$

Step 1

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

$a^{\frac{3}{2}} \sqrt{b^{5}}$

Step 2

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

$a^{\frac{3}{2}} b^{\frac{5}{2}}$