If \(m\) and \(n\) are integers and \(\dfrac{36}{3^4}=\dfrac1{3^m}+\dfrac1{3^n},\) what is the value of \(m+n?\)

[Vincen]

If \(m\) and \(n\) are integers and \(\dfrac{36}{3^4}=\dfrac1{3^m}+\dfrac1{3^n},\) what is the value of \(m+n?\)

A. -2
B. 0
C. 2
D. 3
E. 5

[spoiler]OA=D[/spoiler]

Source: Veritas Prep