SOLUTION: I need help simplifying this fractional exponent problem. Please explain in detail ((2s^(-1)*t^(3 ))^(-3))/((6s^2 t^(-4)))

Algebra ->  Exponents -> SOLUTION: I need help simplifying this fractional exponent problem. Please explain in detail ((2s^(-1)*t^(3 ))^(-3))/((6s^2 t^(-4)))      Log On


   

Question 323524: I need help simplifying this fractional exponent problem. Please explain in detail
((2s^(-1)*t^(3 ))^(-3))/((6s^2 t^(-4)))
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%28%282s%5E%28-1%29%2At%5E%283+%29%29%5E%28-3%29%29%2F%28%286s%5E2%2At%5E%28-4%29%29%29
In the numerator, multiply the exponents inside the brackets by -3
%28%282%5E-3%2As%5E3%2At%5E%28-9%29%29%29%2F%28%286s%5E2%2At%5E%28-4%29%29%29
Reciprocal of 2^-3 gets rid of the negative exponents
%28%28s%5E3%2At%5E%28-9%29%29%29%2F%28%282%5E3%2A6s%5E2%2At%5E%28-4%29%29%29
:
%28%28s%5E3%2At%5E%28-9%29%29%29%2F%28%288%2A6s%5E2%2At%5E%28-4%29%29%29
:
%28%28s%5E3%2At%5E%28-9%29%29%29%2F%28%2848s%5E2%2At%5E%28-4%29%29%29
Combine the exponents of like terms in a manner to produce positive exponents
%28%28s%5E%283-2%29%29%29%2F%28%2848t%5E%28-4%2B9%29%29%29 = %28s%29%2F%28%2848t%5E5%29%29
:
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