SOLUTION: Hello. I have been asked to Re-write each of the following as single powers with positive exponents. One of the questions is: (-3xy^2)^2 -2(xy^2)^2 and I need your help to

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hello. I have been asked to Re-write each of the following as single powers with positive exponents. One of the questions is: (-3xy^2)^2 -2(xy^2)^2 and I need your help to      Log On


   

Question 1112933: Hello.
I have been asked to Re-write each of the following as single powers with positive exponents. One of the questions is:
(-3xy^2)^2 -2(xy^2)^2
and I need your help to understand what the teacher is asking.
Thank you for your help.
GS
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let v=xy%5E2.
%28-3v%29%5E2-2v%5E2
9v%5E2-2v%5E2
7v%5E2
Back-substitute.
7%28xy%5E2%29%5E2
highlight_green%287x%5E2%2Ay%5E4%29