What is \sqrt[6]{y^5}*\sqrt[3]{y^2} ?

The solution to \sqrt[6]{y^5}*\sqrt[3]{y^2} is y^{3/2}

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simplify \sqrt[6]{y^5}*\sqrt[3]{y^2}

simplify

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

Solution steps

= y^{\frac{5}{6}} y^{\frac{2}{3}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{\frac{5}{6}} y^{\frac{2}{3}} = y^{\frac{5}{6} + \frac{2}{3}}

= y^{\frac{5}{6} + \frac{2}{3}}

Join

\frac{5}{6} + \frac{2}{3} : \frac{3}{2}

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

n e^{- n}

3^{8}

x e^{x} (e^{x})

x^{\frac{1}{4}}

What is \sqrt[6]{y^5}*\sqrt[3]{y^2} ?
The solution to \sqrt[6]{y^5}*\sqrt[3]{y^2} is y^{3/2}