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Popular >

simplify \sqrt[13]{w^9}

Solution

simplify

Solution

w^{\frac{9}{13}}

Solution steps

Apply radical rule:

= (w^{9})^{\frac{1}{13}}

Apply exponent rule:

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

assuming

a \geq 0

= w^{9 \cdot \frac{1}{13}}

9 \cdot \frac{1}{13} = \frac{9}{13}

= w^{\frac{9}{13}}

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Frequently Asked Questions (FAQ)

What is \sqrt[13]{w^9} ?
The solution to \sqrt[13]{w^9} is w^{9/13}