Упр.709 Часть 1 ГДЗ Виленкин Жохов 6 класс (Математика)

а) (2/3 : 4/9)2;
б) (2/3)2 : (4/9)2;;
в) (2/7 * 5/12 : 5/14)2.

а) $$\left(\frac{2}{3}:\frac{4}{9}\right)^2=\left(\frac{2}{3}\cdot\frac{9}{4}\right)^2=\left(\frac{3}{2}\right)^2=\frac{9}{4}=2\frac{1}{4}.$$

б) $$\left(\frac{2}{3}\right)^2:\left(\frac{4}{9}\right)^2=\frac{4}{9}:\frac{16}{81}=\frac{4}{9}\cdot\frac{81}{16}=\frac{9}{4}=2\frac{1}{4}.$$

в) $$\left(\frac{2}{7}\cdot\frac{5}{12}:\frac{5}{14}\right)^2=\left(\frac{2}{7}\cdot\frac{5}{12}\cdot\frac{14}{5}\right)^2=\left(\frac{1}{6}\cdot 2\right)^2=\left(\frac{1}{3}\right)^2=\frac{1}{9}.$$

Ответ

а) $$2\frac{1}{4}$$; б) $$2\frac{1}{4}$$; в) $$\frac{1}{9}$$.