SOLUTION: (4/3)to the 3rd power divided by 2-2/3 tried several different ways, I know the answer is 16/9 but don't know how to get it. I tried. 64/27 x -4/3 then I flipped to -3/4

Algebra ->  Exponents -> SOLUTION: (4/3)to the 3rd power divided by 2-2/3 tried several different ways, I know the answer is 16/9 but don't know how to get it. I tried. 64/27 x -4/3 then I flipped to -3/4       Log On


   

Question 706087: (4/3)to the 3rd power divided by 2-2/3
tried several different ways, I know the answer is 16/9 but don't know how to get it.
I tried.
64/27 x -4/3 then I flipped to -3/4
came up with 61/23

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
You expected 16/9, so this is one way to understand what you are actually given:

(4/3)^3 DIVIDED BY (2-2/3), or in complicated fractional form,
%28%284%2F3%29%5E3%29%2F%282-2%2F3%29

=%28%284%5E3%29%2F%283%5E3%29%29%2F%28%286-2%29%2F3%29

=%28%284%5E3%29%2F%283%5E3%29%29%2F%284%2F3%29

=%28%284%5E3%29%2F%283%5E3%29%29%2A%283%2F4%29

=%284%5E2%29%2F%283%5E2%29

=16%2F9