SOLUTION: Tutor: Can you help me in simplifying this problem? Thank you!!! (-3x^2y^-3)^3(x^-3y^2)

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Question 86418: Tutor: Can you help me in simplifying this problem? Thank you!!!
(-3x^2y^-3)^3(x^-3y^2)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Multiplying exponents.
%28%28-3x%5E2y%5E-3%29%5E3%28x%5E-3y%5E2%29%29 [multiply exponents raised to another power]
%28%28-3%5E3%29%28x%5E%282%2A3%29%29%28+y%5E%28-3%2A3%29%29%28x%5E-3y%5E2%29%29
%28%28-27x%5E6y%5E-9%29%28x%5E-3y%5E2%29%29
.
%28-27%28x%5E%286-3%29%29%28y%5E%28-9%2B2%29%29%29 [to simply multiply exponents with like-bases, add the exponents]
.
%28-27x%5E3y%5E-7%29%29
%28-27x%5E3%2Fy%5E7%29 [to get rid of a negative exponent, flip the fraction]