What is \sqrt[4]{x}*\sqrt[9]{x} ?

The solution to \sqrt[4]{x}*\sqrt[9]{x} is \sqrt[36]{x^{13}}

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simplify \sqrt[4]{x}*\sqrt[9]{x}

simplify

Solution steps

= x^{\frac{1}{4}} x^{\frac{1}{9}}

Apply exponent rule:

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

x^{\frac{1}{4}} x^{\frac{1}{9}} = x^{\frac{1}{4} + \frac{1}{9}}

= x^{\frac{1}{4} + \frac{1}{9}}

\frac{1}{4} + \frac{1}{9} = \frac{13}{36}

= x^{\frac{13}{36}}

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What is \sqrt[4]{x}*\sqrt[9]{x} ?
The solution to \sqrt[4]{x}*\sqrt[9]{x} is \sqrt[36]{x^{13}}