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Popular >

simplify \sqrt[a]{7^5}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

5 \cdot \frac{1}{a} : \frac{5}{a}

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

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Frequently Asked Questions (FAQ)

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