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Popular >

simplify \sqrt[13]{x^5}

Solution

simplify

Solution

x^{\frac{5}{13}}

Solution steps

Apply radical rule:

= (x^{5})^{\frac{1}{13}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{5 \cdot \frac{1}{13}}

5 \cdot \frac{1}{13} = \frac{5}{13}

= x^{\frac{5}{13}}

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Frequently Asked Questions (FAQ)

What is \sqrt[13]{x^5} ?
The solution to \sqrt[13]{x^5} is x^{5/13}