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Popular >

simplify \sqrt[12]{x^{11}}

Solution

simplify

Solution

x^{\frac{11}{12}}

Solution steps

Apply radical rule:

= (x^{11})^{\frac{1}{12}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{11 \cdot \frac{1}{12}}

11 \cdot \frac{1}{12} = \frac{11}{12}

= x^{\frac{11}{12}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{x^{11}} ?
The solution to \sqrt[12]{x^{11}} is x^{11/12}