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Popular >

simplify (\sqrt[5]{x})^4

Solution

simplify

(5 x)^{4}

Solution

x^{\frac{4}{5}}

Solution steps

(5 x)^{4}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (x^{\frac{1}{5}})^{4}

Apply exponent rule:

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

= x^{\frac{1}{5} \cdot 4}

\frac{1}{5} \cdot 4 = \frac{4}{5}

= x^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{x})^4 ?
The solution to (\sqrt[5]{x})^4 is x^{4/5}