a)
[tex][ 0.(3) - 1 \frac{1}{2} ] \times {( - \frac{1}{3}) }^{ - 1} = \\ ( \frac{3}{9} - \frac{1 \times 2 + 1}{2} ) \times ( - \frac{3}{1} ) = \\ ( \frac{1}{3} - \frac{3}{2} ) \times ( - 3) = \\ ( \frac{2}{6} - \frac{9}{6} ) \times ( - 3) = \\( - \frac{7}{6} ) \times (- \frac{3}{1} ) = \\ ( - \frac{7}{2} ) \times ( - 1) = \frac{7}{2} [/tex]
b)
[tex] {( - \frac{1}{2} )}^{4} \times {( - \frac{1}{2} )}^{3} \div {( - \frac{1}{2} )}^{6} + {( \frac{2}{3}) }^{ - 1} = [/tex]
[tex]{( - \frac{1}{2} )}^{4 + 3} \div {( - \frac{1}{2} )}^{6} + {( \frac{3}{2}) }^{ } [/tex]
[tex]{( - \frac{1}{2} )}^{7} \div {( - \frac{1}{2} )}^{6} + { \frac{3}{2} }^{ } [/tex]
[tex]{( - \frac{1}{2} )}^{7 - 6} + { \frac{3}{2} }^{ } [/tex]
[tex]{( - \frac{1}{2} )}^{1} + { \frac{3}{2} }^{ } = \\ - \frac{1}{2} + \frac{3}{2} = \frac{2}{2} = 1[/tex]
