What is \sqrt[4]{y^{7/3}y^{1/3}} ?

The solution to \sqrt[4]{y^{7/3}y^{1/3}} is y^{2/3}

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simplify \sqrt[4]{y^{7/3}y^{1/3}}

simplify

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

Solution steps

Simplify

y^{\frac{7}{3}} y^{\frac{1}{3}} : y^{\frac{8}{3}}

Apply radical rule:

assuming

a \geq 0

= y^{\frac{\frac{8}{3}}{4}}

\frac{\frac{8}{3}}{4} = \frac{2}{3}

= y^{\frac{2}{3}}

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What is \sqrt[4]{y^{7/3}y^{1/3}} ?
The solution to \sqrt[4]{y^{7/3}y^{1/3}} is y^{2/3}