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Popular >

simplify (3m^2n)^4

Solution

simplify

(3 m^{2} n)^{4}

Solution

81 m^{8} n^{4}

Solution steps

(3 m^{2} n)^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 m^{2} n)^{4} = 3^{4} (m^{2})^{4} n^{4}

= 3^{4} (m^{2})^{4} n^{4}

3^{4} = 81

= 81 (m^{2})^{4} n^{4}

Simplify

(m^{2})^{4} : m^{8}

= 81 m^{8} n^{4}

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Frequently Asked Questions (FAQ)

What is (3m^2n)^4 ?
The solution to (3m^2n)^4 is 81m^8n^4