SOLUTION: Evaluate (x^3y^-4)(4x^2y)^-2 when x = 1/2 and when y = -1/2.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Evaluate (x^3y^-4)(4x^2y)^-2 when x = 1/2 and when y = -1/2.      Log On


   

Question 1092049: Evaluate (x^3y^-4)(4x^2y)^-2 when x = 1/2 and when y = -1/2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First simplify,

%28x%5E3y%5E%28-4%29%29%284x%5E2y%29%5E%28-2%29=%28x%5E%283-4%29y%5E%28-4-2%29%29%2F16%29
%28x%5E3y%5E%28-4%29%29%284x%5E2y%29%5E%28-2%29=%28x%5E%28-1%29y%5E%28-6%29%29%2F16%29
%28x%5E3y%5E%28-4%29%29%284x%5E2y%29%5E%28-2%29=1%2F%2816xy%5E6%29
Now substitute,
%28x%5E3y%5E%28-4%29%29%284x%5E2y%29%5E%28-2%29=1%2F%2816%281%2F2%29%28-1%2F2%29%5E6%29
Now finish it off.