\(\begin{array}{l}\left| {2 - {{\left( {\frac{1}{2}} \right)}^3}} \right| - \frac{3}{{2.{{\left( { - 2} \right)}^2}}}\\ = \left| {2 - \frac{1}{8}} \right| - \frac{3}{{2.4}}\\ = \frac{{15}}{8} - \frac{3}{8}\\ = \frac{{12}}{8}\\ = \frac{3}{2}\end{array}\)