Write with Rational (Fractional) Exponents square root of 4x^3 cube root of y^4

$\sqrt{4 x^{3}} \sqrt[3]{y^{4}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{4 x^{3}}$ as ${(4 x^{3})}^{\frac{1}{2}}$ .

${(4 x^{3})}^{\frac{1}{2}} \sqrt[3]{y^{4}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{y^{4}}$ as $y^{\frac{4}{3}}$ .

${(4 x^{3})}^{\frac{1}{2}} y^{\frac{4}{3}}$