{-(2m^-2m^o)/(4m2n^-1)}^(-3)

Did you really mean to type m to the zero power? Treat that as a 1.

In the denominator, is m2 supposed to be m^2?
Multiply all exponents by -3 and get rid of the /^(-3)
(-2/4)^-3 can be replaced by -1/8 as the leading factor