\(\left(\dfrac{1}{3}\right)^2.\dfrac{1}{3}.9^2\)\(=\dfrac{1}{9}.\dfrac{1}{3}.81\)

                    \(=\dfrac{1}{27}.81\)

                    \(=3\)

\(\dfrac{3}{2}-\dfrac{2}{3}.x=\dfrac{1}{3}\)\(\Leftrightarrow\dfrac{2}{3}.x=\dfrac{7}{6}\)\(\Leftrightarrow x=\dfrac{7}{4}\)

\(\left(\dfrac{-1}{3}\right)^3+\left(\dfrac{17}{2023}\right)^0-|\dfrac{-5}{2}|+\left(-1\right)^{2022}\)\(=\dfrac{-1}{27}+1-\dfrac{5}{2}+1\)\(=\dfrac{-29}{54}\)