SOLUTION: Simplify to a normal looking fraction of whole numbers: (16/25)^-3/2.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify to a normal looking fraction of whole numbers: (16/25)^-3/2.      Log On


   

Question 577373: Simplify to a normal looking fraction of whole numbers: (16/25)^-3/2.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(16/25)^-3/2.
The reciprocal gets rid of the neg exponent
1/2 exponent is the square root of:
:
%2825%2F16%29%5E%283%2F2%29 = [25%5E%281%2F2%29%2F16%5E%281%2F2%29]^3 = %285%2F4%29%5E3 = 5%5E3%2F4%5E3 = 125%2F64