What is \sqrt[3]{x}*\sqrt[8]{x} ?

The solution to \sqrt[3]{x}*\sqrt[8]{x} is \sqrt[24]{x^{11}}

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simplify \sqrt[3]{x}*\sqrt[8]{x}

simplify

Solution steps

= x^{\frac{1}{3}} x^{\frac{1}{8}}

Apply exponent rule:

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

x^{\frac{1}{3}} x^{\frac{1}{8}} = x^{\frac{1}{3} + \frac{1}{8}}

= x^{\frac{1}{3} + \frac{1}{8}}

\frac{1}{3} + \frac{1}{8} = \frac{11}{24}

= x^{\frac{11}{24}}

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What is \sqrt[3]{x}*\sqrt[8]{x} ?
The solution to \sqrt[3]{x}*\sqrt[8]{x} is \sqrt[24]{x^{11}}