What is \sqrt[5]{x}\sqrt[8]{x} ?

The solution to \sqrt[5]{x}\sqrt[8]{x} is \sqrt[40]{x^{13}}

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simplify \sqrt[5]{x}\sqrt[8]{x}

simplify

Solution steps

= x^{\frac{1}{5}} x^{\frac{1}{8}}

Apply exponent rule:

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

x^{\frac{1}{5}} x^{\frac{1}{8}} = x^{\frac{1}{5} + \frac{1}{8}}

= x^{\frac{1}{5} + \frac{1}{8}}

\frac{1}{5} + \frac{1}{8} = \frac{13}{40}

= x^{\frac{13}{40}}

10 \cdot 103

23 \cdot 23 \cdot 23

(3 n^{\frac{1}{4}}) (2 n^{\frac{1}{4}})

- 2.26 \cdot \frac{1 0 ^{- 19}}{1.6} \cdot 1 0^{- 19}

What is \sqrt[5]{x}\sqrt[8]{x} ?
The solution to \sqrt[5]{x}\sqrt[8]{x} is \sqrt[40]{x^{13}}