Questions on Geometry: Bodies in space, right solid, cylinder, sphere answered by real tutors!

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Question 145469: Simplify
M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M -2power)2nd power: Simplify
M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M -2power)2nd power
Answer by ankor@dixie-net.com(4682) 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:
(M^4(N^-3)^2)/((M^-2)^-3)
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(M^-4*N^8)/(N^8*M)
:
Multiply exponents:
(M^4(N^-6))/(M^6)
----------------
(M^-4*N^8)/(N^8*M)
:
Add/subtract exponents of like terms; n^8 cancels
(N^-6)/(M^(6-4))
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1/M^(1+4))
:
(N^-6)/(M^2)
---------
1/(M^5)
:
Invert the dividing fraction and multiply
(N^-6)/(M^2) * M^5 = N^-6 * M^(5-2) = M^3/N^6