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Popular >

simplify \sqrt[7]{w}^5

Solution

simplify

Solution

w^{\frac{5}{7}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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