[tex](\frac{3}{11}-\frac{4}{55}\cdot\frac{5}{2}):\frac{1}{(-2)^2}-\frac{2}{5}+[(\frac{3}{2}-1)^5]^6:[(\frac{1}{2})^{10}]^3= \\\\ =(\frac{3}{11}-\frac{2}{11})\cdot \frac{4}{1}-\frac{2}{5}+(\frac{3}{2}-\frac{2}{2})^{30}:(\frac{1}{2})^{30} = \\\\ =\frac{1}{11} \cdot 4-\frac{2}{5}+(\frac{1}{2})^{30}:(\frac{1}{2})^{30}= \\\\=\frac{20}{55}-\frac{22}{55}+1=-\frac{2}{55}+\frac{55}{55}=\boxed{\frac{53}{55}}[/tex]
