SOLUTION: THinking about a^-m/n How do I solve for this? 25^-3/2

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Question 195211: THinking about a^-m/n
How do I solve for this?
25^-3/2

Answer by anantha(86) About Me  (Show Source):
You can put this solution on YOUR website!
sol: 25^-3/2
25 can be written as 5*5=5^2
(5^2)^-3/2
(a^m)^n=a^m*n
(5)^2*(-3/2)
=5^-3(i.e;2*(-3/2)=-3*2/2=-3*1=-3)
(a)^-n=1/a^n
=1/5^3
=1/5*5*5
=1/125