SOLUTION: How do i do this? Simplify (all positive exponents) [(3^-3u^2w^-5)/(6^-1u^-1w^-2)]^-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do i do this? Simplify (all positive exponents) [(3^-3u^2w^-5)/(6^-1u^-1w^-2)]^-2      Log On


   

Question 134138: How do i do this?
Simplify (all positive exponents)
[(3^-3u^2w^-5)/(6^-1u^-1w^-2)]^-2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283%5E-3u%5E2w%5E-5%29%2F%286%5E-1u%5E-1w%5E-2%29%29%5E-2
:
Combine exponents of like terms so the exponents will be positive
%28%286%2Au%5E%282%2B1%29%29%2F%283%5E3w%5E%28-2%2B5%29%29%29%5E-2
:
%28%286%2Au%5E3%29%2F%283%5E3w%5E3%29%29%5E-2
:
%28%283%5E3w%5E3%29%2F%286%2Au%5E3%29%29%5E2; inverting get rid of neg
:
%28%2827w%5E3%29%2F%286%2Au%5E3%29%29%5E2
:
Square everything multiply exponents:
%28729w%5E6%29%2F%2836u%5E6%29 = %2881w%5E6%29%2F%284u%5E6%29; reduce the numerical fraction