Write with Rational (Fractional) Exponents cube root of x^4y^7

$\sqrt[3]{x^{4} y^{7}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{x^{4} y^{7}}$ as ${(x^{4} y^{7})}^{\frac{1}{3}}$ .

${(x^{4} y^{7})}^{\frac{1}{3}}$