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Popular >

simplify \sqrt[12]{m^9}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

9 \cdot \frac{1}{12} = \frac{3}{4}

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

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Frequently Asked Questions (FAQ)

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