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Popular >

simplify (\sqrt[8]{a})^7

Solution

simplify

Solution

a^{\frac{7}{8}}

Solution steps

Apply radical rule:

= (a^{\frac{1}{8}})^{7}

Apply exponent rule:

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

= a^{\frac{1}{8} \cdot 7}

\frac{1}{8} \cdot 7 = \frac{7}{8}

= a^{\frac{7}{8}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{a})^7 ?
The solution to (\sqrt[8]{a})^7 is a^{7/8}