SOLUTION: If 4x-y=2/3, what is the value of {{{81^3x/27^y}}}

Algebra ->  Expressions -> SOLUTION: If 4x-y=2/3, what is the value of {{{81^3x/27^y}}}      Log On


   

Question 1043212: If 4x-y=2/3, what is the value of 81%5E3x%2F27%5Ey
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If 4x-y=2/3, what is the value of 81%5E%283x%29%2F27%5Ey
we can rewrite this to
%283%5E4%29%5E%283x%29%2F%283%5E3%29%5Ey
which is
3%5E%2812x%29%2F3%5E%283y%29 = 3%5E%2812x-3y%29 = 3%5E%283%284x-y%29%29 = 27%5E%28%284x-y%29%29
:
Note that the equation is 4x-y = 2/3, therefore
we can replace 4x-y with 2/3 so be now have
27%5E%28%282%2F3%29%29 = 9