709. Вычислите: a) ($$\frac{2}{3}$$ : $$\frac{4}{9}$$)$$^2$$; б) ($$(\frac{2}{3})^2$$ : $$(\frac{4}{9})^2$$); в) ($$(\frac{2}{7} \cdot \frac{5}{12}) \cdot \frac{5}{14}$$)$$^2$$.

a) ($$\frac{2}{3}$$ : $$\frac{4}{9}$$)$$^2$$ = ($$\frac{2}{3}$$ × $$\frac{9}{4}$$)$$^2$$ =($$\frac{18}{12}$$)$$^2$$ =($$\frac{3}{2}$$)$$^2$$ = $$\frac{9}{4}$$ = 2$$\frac{1}{4}

б) ($$(\frac{2}{3})^2$$ : $$(\frac{4}{9})^2$$) = ($$\frac{4}{9}$$ : $$\frac{16}{81}$$) = $$\frac{4}{9}$$ × $$\frac{81}{16}$$ = $$\frac{324}{144}$$ = $$\frac{9}{4}$$ = 2$$\frac{1}{4}

в) ($$(\frac{2}{7} \cdot \frac{5}{12}) \cdot \frac{5}{14}$$)$$^2$$ = ($$(\frac{10}{84}) \cdot \frac{5}{14}$$)$$^2$$ = ($$\frac{5}{42} \cdot \frac{5}{14}$$)$$^2$$ =($$\frac{25}{588}$$)$$^2$$ =$$\frac{625}{345744}$$

Ответ: a) 2$$\frac{1}{4}$$; б) 2$$\frac{1}{4}$$; в) $$\frac{625}{345744}$$