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Popular >

simplify (\sqrt[5]{10x})^4

Solution

simplify

Solution

1 0^{\frac{4}{5}} x^{\frac{4}{5}}

Solution steps

Apply radical rule:

= ((10 x)^{\frac{1}{5}})^{4}

Apply exponent rule:

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

= (10 x)^{\frac{1}{5} \cdot 4}

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

= (10 x)^{\frac{4}{5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 1 0^{\frac{4}{5}} x^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{10x})^4 ?
The solution to (\sqrt[5]{10x})^4 is 10^{4/5}x^{4/5}