SOLUTION: How do you work it out (4/25)to the power of -3/2. X. (8/25) to the power of 1/3

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Question 996808: How do you work it out
(4/25)to the power of -3/2. X. (8/25) to the power of 1/3
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(4/25)^( -3/2)=
(25/4)^(3/2). Invert the fraction, change the sign of the exponent.
=25^3/2 divided by 4^3/2
The numerator is 125, square root (2) of 25 then cubed.
The denominator is 8 by the same approach
Answer is (125/8)
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This is 8^1/3 divided by 125^1/3
That is 2/5.