SOLUTION: (x^-1 - y^-1)^-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x^-1 - y^-1)^-1      Log On


   

Question 109615: (x^-1 - y^-1)^-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(x^-1 - y^-1)^-1
:
The reciprocal eliminates the negative on the exponent, then (in this case) it's 1 so it can be ignored.
:
%281%2Fx+-+1%2Fy%29%5E-1 = 1%2F%28%281%2Fx+-+1%2Fy%29%29 = 1%2F%28%28y-x%29%2F%28xy%29%29 make the denominator into a single fraction:
:
Invert the dividing fraction and multiply
1 * %28xy%29%2F%28%28y-x%29%29 = %28xy%29%2F%28%28y-x%29%29
:
Did the make sense to you? Any questions?