SOLUTION: Simplify M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M -2power)2nd power

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Question 145469: Simplify
M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M -2power)2nd power
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M -2power)2nd power
:
Assume you mean:
%28M%5E4%28N%5E-3%29%5E2%29%2F%28%28M%5E-2%29%5E-3%29
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%28M%5E-4%2AN%5E8%29%2F%28N%5E8%2AM%29
:
Multiply exponents:
%28M%5E4%28N%5E-6%29%29%2F%28M%5E6%29
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%28M%5E-4%2AN%5E8%29%2F%28N%5E8%2AM%29
:
Add/subtract exponents of like terms; n^8 cancels
%28N%5E-6%29%2F%28M%5E%286-4%29%29
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1%2FM%5E%281%2B4%29%29
:
%28N%5E-6%29%2F%28M%5E2%29
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1%2F%28M%5E5%29
:
Invert the dividing fraction and multiply
%28N%5E-6%29%2F%28M%5E2%29 * M%5E5+=+N%5E-6+%2A+M%5E%285-2%29 = M%5E3%2FN%5E6