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Popular >

simplify (\sqrt[12]{x})^8

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (x^{\frac{1}{12}})^{8}

Apply exponent rule:

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

= x^{\frac{1}{12} \cdot 8}

\frac{1}{12} \cdot 8 = \frac{2}{3}

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[12]{x})^8 ?
The solution to (\sqrt[12]{x})^8 is x^{2/3}