Question

`(5mn^3)^(3)`
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Answer 1

`125m^3n^9`

Explanation:

`(a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^(bc)\\\\\rightarrow (n^3)^3=n^(3*3)=n^9\\\\\boxed{125m^3n^9}`

Brainilest Appreciated.

Answer 2

`125m {}^(3)n {}^(6)`

Explanation:

Since

`a {}^(b) * a {}^(c) = a {}^(b + c)`

`(5mn {}^(3) ) {}^(3) = (5) {}^(3)(m) {}^(3) (n {}^(3)) {}^(3) = 125m {}^(3)n {}^(3 + 3) = 125m {}^(3)n {}^(6)`

Hope this helps :) ❤❤❤