SOLUTION: Given that :3x power 4 *(2x) power 3 over 12x power-2 =Ax power n where A and n are integers. Find the value of A and n.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Given that :3x power 4 *(2x) power 3 over 12x power-2 =Ax power n where A and n are integers. Find the value of A and n.      Log On


   

Question 1180899: Given that :3x power 4 *(2x) power 3 over 12x power-2 =Ax power n where A and n are integers. Find the value of A and n.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
that :3x power 4 *(2x) power 3 over 12x power-2 =Ax power n where A and n are integers. Find the value of A and n
Assume its:
%283x%5E4%2A%282x%29%5E3%29%2F%2812x%5E-2%29 = Ax%5En
raise the terms in the brackets to ^3
%283x%5E4%2A2%5E3x%5E3%29%2F%2812x%5E-2%29 = Ax%5En
reciprocal of x gets rid of the neg exponent
%283x%5E4%2A8x%5E3%2Ax%5E2%29%2F12 = Ax%5En
Add the exponents of x
%2824x%5E9%29%2F12 = 2x%5E9
therefore A=2, n=9