\(\dfrac{6}{18^2}:\dfrac{7}{3^2}=\dfrac{6}{2^2\cdot3^4}\cdot\dfrac{3^2}{7}=\dfrac{6}{2^2\cdot3^2\cdot7}\)
\(=\dfrac{6}{6\cdot6\cdot7}=\dfrac{1}{6\cdot7}=\dfrac{1}{42}\)
\(\dfrac{6}{18}:\dfrac{7}{2}=\dfrac{1}{3}:\dfrac{7}{2}=\dfrac{1}{3}.\dfrac{2}{7}=\dfrac{2}{21}\)