10 Вычислите: a) $$rac{4}{9} \cdot (3\frac{3}{14} \cdot 2\frac{4}{5})^2$$; б) $$(\frac{2}{3})^3 + \frac{5}{9} \cdot \frac{9}{11}$$; в) $$(2\frac{1}{2} - \frac{11}{14}) \cdot (1\frac{4}{9} + 2\frac{5}{6} - 2\frac{3}{4})$$

Выполним вычисления: a) $$\frac{4}{9} \cdot (3\frac{3}{14} \cdot 2\frac{4}{5})^2 = \frac{4}{9} \cdot (\frac{45}{14} \cdot \frac{14}{5})^2 = \frac{4}{9} \cdot (9)^2 = \frac{4}{9} \cdot 81 = 4 \cdot 9 = 36$$ <p><strong>Ответ: 36</strong></p> б) $$(\frac{2}{3})^3 + \frac{5}{9} \cdot \frac{9}{11} = \frac{8}{27} + \frac{5}{11} = \frac{8 \cdot 11 + 5 \cdot 27}{27 \cdot 11} = \frac{88 + 135}{297} = \frac{223}{297}$$ <p><strong>Ответ: $$\frac{223}{297}$$</strong></p> в) $$(2\frac{1}{2} - \frac{11}{14}) \cdot (1\frac{4}{9} + 2\frac{5}{6} - 2\frac{3}{4}) = (\frac{5}{2} - \frac{11}{14}) \cdot (\frac{13}{9} + \frac{17}{6} - \frac{11}{4}) = (\frac{5 \cdot 7 - 11}{14}) \cdot (\frac{13 \cdot 4 + 17 \cdot 6 - 11 \cdot 9}{36}) = (\frac{35-11}{14}) \cdot (\frac{52 + 102 - 99}{36}) = \frac{24}{14} \cdot \frac{55}{36} = \frac{12}{7} \cdot \frac{55}{18} = \frac{2}{7} \cdot \frac{55}{3} = \frac{110}{21} = 5\frac{5}{21}$$ <p><strong>Ответ: $$5\frac{5}{21}$$</strong></p>