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Popular >

simplify \sqrt[7]{a^5}

Solution

simplify

Solution

a^{\frac{5}{7}}

Solution steps

Apply radical rule:

= (a^{5})^{\frac{1}{7}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{5 \cdot \frac{1}{7}}

5 \cdot \frac{1}{7} = \frac{5}{7}

= a^{\frac{5}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{a^5} ?
The solution to \sqrt[7]{a^5} is a^{5/7}