SOLUTION: Simplify the complex fraction completely: (9 - m^2 n^-2) ÷ (3 - m^1 n^-1)

Algebra ->  Expressions -> SOLUTION: Simplify the complex fraction completely: (9 - m^2 n^-2) ÷ (3 - m^1 n^-1)      Log On


   

Question 1008308: Simplify the complex fraction completely: (9 - m^2 n^-2) ÷ (3 - m^1 n^-1)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Using the "fraction bar" in place of the division operator,
%289-m%5E2n%5E-2%29%2F%283-m%5E1n%5E-1%29

Changing to all positive exponents,
%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29

Simplest common denominator is n%5E2%2Fn%5E2...
%28%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29%29%28n%5E2%2Fn%5E2%29

highlight%28%289n%5E2-m%5E2%29%2F%283n%5E2-mn%29%29-----THIS is the best final result.

There might be one further step, but reducing the fractional expression could change some of its meaning.

---
Possible next steps,
%28%283n-m%29%283n%2Bm%29%29%2F%28n%283n-m%29%29
and then
%28cross%28%283n-m%29%29%283n%2Bm%29%29%2F%28n%2Across%28%283n-m%29%29%29
highlight_green%28%283n%2Bm%29%2Fn%29-------but like said already, this changes the meaning of the expression.