If \(\dfrac{2^{-n}}3\cdot \dfrac{3^{-n}}2=\dfrac1{36},\) what is the value of \(n?\)

[Gmat_mission]

If \(\dfrac{2^{-n}}3\cdot \dfrac{3^{-n}}2=\dfrac1{36},\) what is the value of \(n?\)

A. -1
B. 0
C. 1
D. 2
E. 3

Answer: C

Source: Magoosh