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Popular >

simplify (2m^3n^2)^5

Solution

simplify

(2 m^{3} n^{2})^{5}

Solution

32 m^{15} n^{10}

Solution steps

(2 m^{3} n^{2})^{5}

Apply exponent rule:

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

(2 m^{3} n^{2})^{5} = 2^{5} (m^{3})^{5} (n^{2})^{5}

= 2^{5} (m^{3})^{5} (n^{2})^{5}

2^{5} = 32

= 32 (m^{3})^{5} (n^{2})^{5}

Simplify

(m^{3})^{5} : m^{15}

= 32 m^{15} (n^{2})^{5}

Simplify

(n^{2})^{5} : n^{10}

= 32 m^{15} n^{10}

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Frequently Asked Questions (FAQ)

What is (2m^3n^2)^5 ?
The solution to (2m^3n^2)^5 is 32m^{15}n^{10}