Question 1122232
Not sure what other method you want.   Steps can vary some but the rules for exponents must be followed.


Just your first example, maybe different "method" than before, change from negative to positive exponents and stay all in positive exponents.


{{{(-4(n^2/m^2))^3*(1/(2m^3n))}}}


{{{(-64(n^6/m^6))/(2m^3*n)}}}


{{{(-64n^6)/(2m^6*m^3*n))}}}, {{{cancel}}} {{{2/2}}}{{{and}}}{{{n/n}}}


{{{(-32n^5)/(m^9)}}}