SOLUTION: simplify the expression (3x^-2y^3)^2(2x^-6y^2) so that you use positive exponents,only I tried moving all the negative exponents to the bottom to make them positive and then I s

Algebra ->  Exponents -> SOLUTION: simplify the expression (3x^-2y^3)^2(2x^-6y^2) so that you use positive exponents,only I tried moving all the negative exponents to the bottom to make them positive and then I s      Log On


   

Question 720995: simplify the expression (3x^-2y^3)^2(2x^-6y^2) so that you use positive exponents,only
I tried moving all the negative exponents to the bottom to make them positive and then I simplified the equation but I couldn't get an answer that matched the answer choices given.If you can please help i would greatly appreciate it. Thank You
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E-2y%5E3%29%5E2%282x%5E-6y%5E2%29
square everything inside the brackets (You multiply the exponents in this case)
%289x%5E-4y%5E6%29%282x%5E-6y%5E2%29
Combine, multiply like terms, (you add the exponents)
18x%5E%28%28-4-6%29%29y%5E%28%286%2B2%29%29 = 18x%5E-10y%5E8
the reciprocal gets rid of the neg exponent
%2818y%5E8%29%2Fx%5E10, the simplified equation with positive exponents