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Popular >

simplify (\sqrt[6]{x})^4

Solution

simplify

Solution

x^{\frac{2}{3}}

Solution steps

Apply radical rule:

= (x^{\frac{1}{6}})^{4}

Apply exponent rule:

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

= x^{\frac{1}{6} \cdot 4}

\frac{1}{6} \cdot 4 = \frac{2}{3}

= x^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[6]{x})^4 ?
The solution to (\sqrt[6]{x})^4 is x^{2/3}