Question

How do you simplify `((5pr^-2)^-2)/((3p^-1r)^3)`?

Answer 1

Use the fact that `(a^m)^n=a^(m*n)`
You'll get:
`(5^(-2)p^(-2)r^((-2)*(-2)))/(3^3p^(-1*3)r^3)=`
use the fact that `a^-m=1/a^m`
To get:
`1/25*(p^(-2)r^(4))/(27p^(-3)r^3)=`
simplifying:
`=1/675*rp`