Question

(√(2m)^-3)/(m^-1)

Answer 1

√(2m)^-3) = (2m)^(-3/2) = 1/(2m)^(3/2) = 1/(√8 m^(3/2))

1/m^-1 = 1/(1/m) = m
so, you have

m/(√8 m√m) = 1/√(8m)