Question

How do you simplify `25 ^( - 3/2 )`?

Answer 1

I found `0.008`

Explanation:

We first get rid of the minus sign by writing:
`25^(-3/2)=1/(25)^(3/2)`
A fractional exponent correspond to a root as:
`x^(m/n)=rootn(x^m)`
so we get:
`1/(25)^(3/2)=1/(sqrt(25^3))=1/sqrt(25^2*25)=1/(25*5)=0.008`