SOLUTION: please help me simplify the following: (5u^2v/2uv^2)^2/(-3uv/2u^2v)^3

Algebra ->  Equations -> SOLUTION: please help me simplify the following: (5u^2v/2uv^2)^2/(-3uv/2u^2v)^3      Log On


   

Question 333067: please help me simplify the following:
(5u^2v/2uv^2)^2/(-3uv/2u^2v)^3
Answer by benazir.sj@gmail.com(109) About Me  (Show Source):
You can put this solution on YOUR website!
(5u^2v/2uv^2)^2/(-3uv/2u^2v)^3
solution:
(5^2u^2*2v^2 /2^2u^2v^2*2) /(-3^3u^3v^3 /2^3u^2*3 v^3)
= 25u^4v^2/4u^2v^4
___________________
-27u^3v^3 /8u^6v^3

=25u^4v^2 * 8u^6v^3
________________________
4u^2v^4 * -27u^3v^3
= 25u^2*2u^3/-27v^2
= 25*2 *u^(2+3)/-27v^2

= -50u^5/27v^2