SOLUTION: Please help me solve: (-64/27)^-2/3

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Question 54820: Please help me solve:
(-64/27)^-2/3

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(-64/27)^-2/3
The negative means "invert"
The 2 means "square"
The 3 means "take the cube root"
You may do these three operations in any order
and still get the correct answer.
(-64/27)^-(2/3)
1st: Take the cube root so you have smaller numbers, to get:
(-4/3)^(-2)
2nd: Square to get rid of the negative sign, to get:
(16/9)^(-1)
3rd: Invert, to get:
(9/16)
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rules used:
highlight%28%28a%5Em%2Fb%5En%29%5Es=a%5E%28m%2As%29%2Fb%5E%28n%2As%29%29 The s is an exponent.
highlight%28a%5E%28-m%29=1%2Fa%5Em%29
highlight%281%2Fa%5E%28-m%29=a%5Em%29
%28-64%2F27%29%5E%28-2%2F3%29
%28%28-4%29%2A%28-4%29%2A%28-4%29%2F%283%2A3%2A3%29%29%5E%28-2%2F3%29
%28%28-4%29%5E3%2F3%5E3%29%5E%28-2%2F3%29
%28-4%29%5E%283%2A%28-2%2F3%29%29%2F3%5E%283%2A%28-2%2F3%29%29
%28-4%29%5E-2%2F3%5E-2
3%5E2%2F%28-4%29%5E2
highlight%289%2F16%29
Happy Calcualting!!!