SOLUTION: Simplify. Your answer should contain only positive exponents (2mn^4)^4 * 2m^-1n^2

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Question 1104911: Simplify. Your answer should contain only positive exponents
(2mn^4)^4 * 2m^-1n^2
Found 2 solutions by greenestamps, stanbon:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


%282mn%5E4%29%5E4+%2A+2m%5E-1n%5E2

You need to "distribute" the exponent 4 to all of the factors inside the parentheses:
%282mn%5E4%29%5E4+=+%282%5E4%29%28m%5E4%29%28n%5E4%29%5E4+=+16m%5E4n%5E16

Then for
%2816m%5E4n%5E16%29%2A2m%5E-1n%5E2
you need to use normal multiplication for the coefficients and your rules of exponents for the variables.
16%2A2=32; %28m%5E4%29%28m%5E-1%29+=+m%5E%284-1%29+=+m%5E3; %28n%5E16%29%28n%5E2%29+=+n%5E%2816%2B2%29+=+n%5E18

The final simplified expression is 32m%5E3n%5E18

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. Your answer should contain only positive exponents
(2mn^4)^4 * 2m^-1n^2
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16m^4n^16 *2/m*n^2
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32 m^3 *n^18
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Cheers,
Stan H.
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