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Popular >

simplify (sqrt(m))^{12}

Solution

simplify

(m)^{12}

Solution

m^{6}

Solution steps

(m)^{12}

Rewrite

12

as

2 \cdot 6

= (m)^{2 \cdot 6}

Apply exponent rule:

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

assuming

a \geq 0

(m)^{2 \cdot 6} = ((m)^{2})^{6}

= ((m)^{2})^{6}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(m)^{2} = m

= m^{6}

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Frequently Asked Questions (FAQ)

What is (sqrt(m))^{12} ?
The solution to (sqrt(m))^{12} is m^6