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Popular >

simplify \sqrt[13]{x^{11}}

Solution

simplify

Solution

x^{\frac{11}{13}}

Solution steps

Apply radical rule:

= (x^{11})^{\frac{1}{13}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{11 \cdot \frac{1}{13}}

11 \cdot \frac{1}{13} = \frac{11}{13}

= x^{\frac{11}{13}}

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Frequently Asked Questions (FAQ)

What is \sqrt[13]{x^{11}} ?
The solution to \sqrt[13]{x^{11}} is x^{11/13}