Вычислите:
а) $(\frac{2}{3} : \frac{4}{9})^2$;
б) $(\frac{2}{3})^2 : (\frac{4}{9})^2$;
в) $(\frac{2}{7} * \frac{5}{12} : \frac{5}{14})^2$.
$(\frac{2}{3} : \frac{4}{9})^2 = (\frac{2}{3} * \frac{9}{4})^2 = (\frac{3}{2})^2 = \frac{3}{2} * \frac{3}{2} = \frac{9}{4} = 2\frac{1}{4}$
$(\frac{2}{3})^2 : (\frac{4}{9})^2 = (\frac{2}{3} * \frac{2}{3}) : (\frac{4}{9} * \frac{4}{9}) = \frac{4}{9} : \frac{16}{81} = \frac{4}{9} * \frac{81}{16} = \frac{9}{4} = 2\frac{1}{4}$
$(\frac{2}{7} * \frac{5}{12} : \frac{5}{14})^2 = (\frac{2}{7} * \frac{5}{12} * \frac{14}{5})^2 = (\frac{1}{1} * \frac{1}{3} * \frac{1}{1})^2 = \frac{1}{3} * \frac{1}{3} = \frac{1}{9}$
Пожауйста, оцените решение
