Tính: phép tính a) 1/5 - 2/5 . ( -0,5)

a) \(\frac{1}{5} - \frac{2}{5} \cdot \left( { - 0,5} \right) = \frac{1}{5} - \frac{2}{5} \cdot \left( { - \frac{1}{2}} \right)\)\( = \frac{1}{5} + \frac{1}{5} = \frac{2}{5} \cdot \)

b) \({\left( {\frac{2}{3}} \right)^{2023}} \cdot {\left( {\frac{3}{2}} \right)^{2024}} + 1\frac{3}{4} = {\left( {\frac{2}{3}} \right)^{2023}} \cdot {\left( {\frac{3}{2}} \right)^{2023}} \cdot \frac{3}{2} + \frac{7}{4}\)

\( = {\left( {\frac{2}{3} \cdot \frac{3}{2}} \right)^{2023}} \cdot \frac{3}{2} + \frac{7}{4}\)\( = \frac{3}{2} + \frac{7}{4} = \frac{6}{4} + \frac{7}{4} = \frac{{13}}{4}.\)