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Popular >

simplify \sqrt[12]{x^{9m}}

Solution

simplify

Solution

x^{\frac{3 m}{4}}

Solution steps

Apply radical rule:

= (x^{9 m})^{\frac{1}{12}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{9 m \frac{1}{12}}

Simplify

9 m \frac{1}{12} : \frac{3 m}{4}

= x^{\frac{3 m}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{x^{9m}} ?
The solution to \sqrt[12]{x^{9m}} is x^{(3m)/4}