Решение:
1) $$4.2 \cdot (12 - 12.9) - 15.6 \cdot (6 - 5.8) = 4.2 \cdot (-0.9) - 15.6 \cdot 0.2 = -3.78 - 3.12 = -6.9$$
Ответ: -6.9
2) $$0.1092 : (-0.21) - 0.9 \cdot (-0.2) \cdot (-\frac{3}{5}) = -0.52 - 0.9 \cdot 0.2 \cdot (-\frac{3}{5}) = -0.52 - 0.18 \cdot (-\frac{3}{5}) = -0.52 + 0.108 = -0.412$$
Ответ: -0.412
3) $$-108 : 75 - (2.43 + 3.9 \cdot 0.2) = -1.44 - (2.43 + 0.78) = -1.44 - 3.21 = -4.65$$
Ответ: -4.65
4) $$-4.242 : 0.7 + 3.9 \cdot (8 - 5.4) = -6.06 + 3.9 \cdot 2.6 = -6.06 + 10.14 = 4.08$$
Ответ: 4.08
5) $$-1\frac{2}{3} \cdot (\frac{3}{5})^2 - 9\frac{4}{5} : \frac{7}{11} = -\frac{5}{3} \cdot \frac{9}{25} - \frac{49}{5} : \frac{7}{11} = -\frac{3}{5} - \frac{49}{5} \cdot \frac{11}{7} = -\frac{3}{5} - \frac{7}{5} \cdot 11 = -\frac{3}{5} - \frac{77}{5} = -\frac{80}{5} = -16$$
Ответ: -16
6) $$-7.2 : \frac{6}{11} - 12.8 \cdot (\frac{3}{4})^3 = -7.2 \cdot \frac{11}{6} - 12.8 \cdot \frac{27}{64} = -1.2 \cdot 11 - 0.2 \cdot 27 = -13.2 - 5.4 = -18.6$$
Ответ: -18.6