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Popular >

simplify \sqrt[13]{m^4}

Solution

simplify

Solution

m^{\frac{4}{13}}

Solution steps

Apply radical rule:

= (m^{4})^{\frac{1}{13}}

Apply exponent rule:

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

assuming

a \geq 0

= m^{4 \cdot \frac{1}{13}}

4 \cdot \frac{1}{13} = \frac{4}{13}

= m^{\frac{4}{13}}

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Frequently Asked Questions (FAQ)

What is \sqrt[13]{m^4} ?
The solution to \sqrt[13]{m^4} is m^{4/13}