Question 1092978
I'll help you with the first one
-25^(-3/2)
rewrite as follows:
(-1)/(25^(3/2))
Let's separate the exponent of 25^(-3/2) into integer and fractional parts, like this 25^(-3/2) = 25^(1/2 - (4)/2) = 25^(-4/2)×sqrt(25):
-25^(-4/2)sqrt(25)
= -25^(-2)sqrt(25)
Evaluate 25^2.
 | 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
-(sqrt(25))/(625)
Let's simplify, like this sqrt(25) = sqrt(5^2) = 5:
-5/625
Divide both numbers by 5 to get your answer:
(-1)/125