а) $$-0{,}25^{-2} \cdot 100 = -\frac{1}{0{,}25^2} \cdot 100 = -\frac{1}{(1/4)^2} \cdot 100 = -\frac{1}{1/16} \cdot 100 = -16 \cdot 100 = -1600$$
б) $$0{,}1^{-1} + 1{,}1^0 = \frac{1}{0{,}1} + 1 = \frac{1}{1/10} + 1 = 10 + 1 = 11$$
в) $$0{,}01 \cdot (-0{,}5)^{-3} = 0{,}01 \cdot \frac{1}{(-0{,}5)^3} = \frac{1}{100} \cdot \frac{1}{(-1/2)^3} = \frac{1}{100} \cdot \frac{1}{-1/8} = \frac{1}{100} \cdot (-8) = -\frac{8}{100} = -0{,}08$$
г) $$3\frac{1}{3} \cdot \left(\frac{2}{3}\right)^{-2} - 0{,}5 = \frac{10}{3} \cdot \left(\frac{3}{2}\right)^2 - \frac{1}{2} = \frac{10}{3} \cdot \frac{9}{4} - \frac{1}{2} = \frac{90}{12} - \frac{1}{2} = \frac{45}{6} - \frac{3}{6} = \frac{42}{6} = 7$$