SOLUTION: Simplify [(3/4)^2 - (1/3)^3] * 3^2. I REALY NEED YOUR HELP WITH THIS...THANKS

Algebra ->  Exponents -> SOLUTION: Simplify [(3/4)^2 - (1/3)^3] * 3^2. I REALY NEED YOUR HELP WITH THIS...THANKS      Log On


   

Question 153469: Simplify [(3/4)^2 - (1/3)^3] * 3^2.
I REALY NEED YOUR HELP WITH THIS...THANKS
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
First perform the operations inside the box brackets. Also note that:
%283%2F4%29%5E2=3%5E2%2F4%5E2=9%2F16
%281%2F3%29%5E3=1%2F3%5E3=1%2F27%29
So
%28%283%2F4%29%5E2+-+%281%2F3%29%5E3%29+%2A+3%5E2
=%289%2F16-1%2F27%29%2A3%5E2
=%28%289%2A27%29%2F%2816%2A27%29-%281%2A16%29%2F%2816%2A27%29%29%2A3%5E2
=%28%289%2A27-1%2A16%29%2F%2816%2A27%29%29%2A3%5E2
=%28227%2F%2816%2A27%29%29%2A9
=%28227%2A9%29%2F%2816%2A27%29
=%28227%2A9%29%2F%2816%2A3%2A9%29
=%28227%2Across%289%29%29%2F%2816%2A3%2Across%289%29%29
=227%2F48