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Popular >

simplify \sqrt[8]{a^7}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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