Question 159257
Please show me how this was solved, step by step 
(mn)^5=m^5n^5
(n^2)^5=n^2x5=n^10
I don't understand how/why m disappeared, thank so very much!
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It's not clear what the problem is.  You wrote 2 equations, both of which are just manipulations of exponents.
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{{{(mn)^5=m^5*n^5}}}
{{{(n^2)^5=n^(2x5)=n^10}}}