2 Выполните действия: а) \frac{2}{5} \cdot (\frac{11}{14} - \frac{3}{7}); б) $$(1\frac{1}{3})^2 + (1\frac{1}{3})^3$$.

a) $$\frac{2}{5} \cdot (\frac{11}{14} - \frac{3}{7})$$ = $$\frac{2}{5} \cdot (\frac{11}{14} - \frac{3 \cdot 2}{7\cdot 2})$$ = $$\frac{2}{5} \cdot (\frac{11}{14} - \frac{6}{14})$$ = $$\frac{2}{5} \cdot \frac{5}{14}$$ = $$\frac{2 \cdot 5}{5 \cdot 14}$$ = $$\frac{10}{70}$$ = $$\frac{1}{7}

б) $$(1\frac{1}{3})^2 + (1\frac{1}{3})^3$$ = $$(\frac{4}{3})^2 + (\frac{4}{3})^3$$ = $$\frac{16}{9} + \frac{64}{27}$$ = $$\frac{16 \cdot 3}{9 \cdot 3} + \frac{64}{27}$$ = $$\frac{48}{27} + \frac{64}{27}$$ = $$\frac{112}{27}$$ = $$4\frac{4}{27}$$

Ответ: а) $$\frac{1}{7}$$; б) $$4\frac{4}{27}$$