m^-1+z^-1/m^-1-z^1

Question

Simplify the expression in two ways using method I and method II and using only positive exponents in your answer.

Answer 1

Show us your work, and we'll critique it.  If you did this by both methods, you should get equivalent answers.

 

I am reluctant to work on this because I SUSPECT that you need some parentheses here!  (Necessitated because of the awkwardness of this platform when it comes to writing lengthy multi-term numerators & denominators.)