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Popular >

simplify (\sqrt[8]{x})^5

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

\frac{1}{8} \cdot 5 = \frac{5}{8}

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{x})^5 ?
The solution to (\sqrt[8]{x})^5 is x^{5/8}