What is \sqrt[4]{x^3}*\sqrt[3]{x^2} ?

The solution to \sqrt[4]{x^3}*\sqrt[3]{x^2} is x^{17/12}

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simplify \sqrt[4]{x^3}*\sqrt[3]{x^2}

simplify

x^{\frac{17}{12}}

Solution steps

= x^{\frac{3}{4}} x^{\frac{2}{3}}

Apply exponent rule:

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

x^{\frac{3}{4}} x^{\frac{2}{3}} = x^{\frac{3}{4} + \frac{2}{3}}

= x^{\frac{3}{4} + \frac{2}{3}}

Join

\frac{3}{4} + \frac{2}{3} : \frac{17}{12}

= x^{\frac{17}{12}}

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What is \sqrt[4]{x^3}*\sqrt[3]{x^2} ?
The solution to \sqrt[4]{x^3}*\sqrt[3]{x^2} is x^{17/12}