# How do you write with fractional exponents root4(y^3)?

${y}^{\frac{3}{4}}$
To write ${\sqrt[4]{y}}^{3}$ with fractional exponents, remember this rule:
${x}^{\frac{a}{b}} = {\sqrt[b]{x}}^{a}$
Since ${\sqrt[4]{y}}^{3}$ is in its root form, all you have to do is reverse the process and use the rule above to switch it into a fractional exponent.
${\sqrt[4]{y}}^{3} = {y}^{\frac{3}{4}}$