SOLUTION: simplify the following. (-3x^2y^-3)^3 (x^-3y^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify the following. (-3x^2y^-3)^3 (x^-3y^2)      Log On


   

Question 68231: simplify the following.
(-3x^2y^-3)^3 (x^-3y^2)
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
%28-3x%5E2y%5E-3%29%5E3+%28x%5E-3y%5E2%29
%28a%5Eb%29%5Ec=a%5Ebc
so:
%28-3x%5E2y%5E-3%29%5E3+%28x%5E-3y%5E2%29=%28-3x%5E6y%5E-9%29+%28x%5E-3y%5E2%29
a%5E%28-b%29=1%2F%28a%5Eb%29
so:

%28a%5Eb%29%2F%28a%5Ec%29=a%5E%28b-c%29
so:
=%28%28-3x%5E6%29%2F%28x%5E3%29%29%2A%28%28y%5E2%29%2F%28y%5E9%29%29=-3x%5E3y%5E-7
=-3x%5E3%2Fy%5E7
I hope this is clear to understand,
Adam
P.S visit my website at www.geocities.com/quibowibbler