SOLUTION: (-125/64) to the -2/3 power.

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Question 256452: (-125/64) to the -2/3 power.
Found 2 solutions by drk, richwmiller:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We are given
(i) %28-125%2F64%29%5E%28-2%2F3%29
step 1 - flip the fraction to get a positive power as
(ii) %28-64%2F125%29%5E%282%2F3%29
take a cube root to get
(iii) %28-4%2F5%29%5E%282%29
square the fraction to get
(iv) 16%2F25

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
write power with ^ which is above the 6
(-125/64)^(-2/3)
%28-125%2F64%29%5E%28-2%2F3%29
- means reciprocal
%28-64%2F125%29%5E%282%2F3%29
2 means square it
%28-64%2A64%2F%28125%2A125%29%29%5E%281%2F3%29
(-8*8*8*8)/(25*25*25)
-1*2*2*2*8*8*8\25*25*25
1/3 means get cube root

-%28-1%29%5E%281%2F3%29%2A16%2F25