# How do you write root3(x^2y) as an exponential form?

Feb 9, 2016

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

#### Explanation:

Please remember $\sqrt[n]{x}$ is written as ${x}^{\frac{1}{n}}$ in exponential form

Hence $\sqrt[3]{{x}^{2} y}$ can written as ${\left({x}^{2} y\right)}^{\frac{1}{3}}$

As ${\left({x}^{a}\right)}^{b}$ is nothing but ${x}^{a \cdot b}$

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

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

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