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

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39736) 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

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
(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
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You're trying to do too much. It's much easier doing it this way!
%284%2F3%29%5E3%2F%282+-+2%2F3%29 = %284%2F3%29%5E3%2F%281%261%2F3%29 = %284%2F3%29%5E3%2F%284%2F3%29 = %284%2F3%29%5E3%2F%284%2F3%29%5E1 = %284%2F3%29%5E%283+-+1%29+=+%284%2F3%29%5E2+=+4%5E2%2F3%5E2+=+highlight%2816%2F9%29