Question

Write y^{2} }" alt="\sqrt[3]{x^{2} y^{2} }" align="absmiddle" class="latex-formula"> using fractional exponents.

Answer 1

Answer:

$x^{\frac{2}{3}}y^{\frac{2}{3}}$

Step-by-step explanation:

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

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