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Popular >

simplify (sqrt(m^4n^6))^3

Solution

simplify

(m^{4} n^{6})^{3}

Solution

m^{6} n^{9}

Solution steps

(m^{4} n^{6})^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(m^{4} n^{6})^{2 + 1} = (m^{4} n^{6})^{2} m^{4} n^{6}

= (m^{4} n^{6})^{2} m^{4} n^{6}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(m^{4} n^{6})^{2} = m^{4} n^{6}

= m^{4} n^{6} m^{4} n^{6}

Simplify

m^{4} n^{6} : m^{2} n^{3}

= m^{4} n^{6} m^{2} n^{3}

Simplify

m^{4} m^{2} : m^{6}

= m^{6} n^{6} n^{3}

Simplify

n^{6} n^{3} : n^{9}

= m^{6} n^{9}

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Frequently Asked Questions (FAQ)

What is (sqrt(m^4n^6))^3 ?
The solution to (sqrt(m^4n^6))^3 is m^6n^9