SOLUTION: -(x^3 y^-2)(xy^-2)^-3

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: -(x^3 y^-2)(xy^-2)^-3      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 575831: -(x^3 y^-2)(xy^-2)^-3
Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!
-(x^3 y^-2)(xy^-2)^-3

(-x^3/y^2)(x/y^2)^-3

(-x^3/y^2)(x^-3/y^-6)

(-x^3/y^2)(y^6/x^3)

(-x^3/x^3)*(y^6/y^2)

-y^4

So -(x^3 y^-2)(xy^-2)^-3 simplifies to -y^4


In other words, -(x^3 y^-2)(xy^-2)^-3 = -y^4 for all nonzero values of x and y.