Вычислите: 1) (5/7)²*7/15; 2) (3/4)²*32/45; 3) (1/2)²*4/5; 4) (2 5/7)²*14/19; 5) (2...

Воспользуемся математической аксиомой

$( \frac{a}{b} )^n = \frac{a^n}{b^n}$

тогда

1) $( \frac{5}{7} )^2 * \frac{7}{15} = \frac{25}{49} * \frac{7}{15} = \frac{5}{7} * \frac{1}{3} = \frac{5}{21}$
2) $( \frac{3}{4})^2 * \frac{32}{45} = \frac{9}{16} * \frac{32}{45} = \frac{1}{1} * \frac{2}{5} = 0,4$
3) $( \frac{1}{2})^2 * \frac{4}{5} = \frac{1}{4} * \frac{4}{5} = \frac{1}{5} = 0,2$
4) $(2 \frac{5}{7} )^2 * \frac{14}{19} = \frac{361}{49} * \frac{14}{19} = \frac{19}{7} *2 = \frac{38}{7} = 5 \frac{3}{7}$
5) $(2 \frac{1}{3})^2 * \frac{27}{98} = \frac{49}{9} * \frac{27}{98} = \frac{1}{1} * \frac{3}{2} = 1,5$
6) $( \frac{8}{11} )^2 * \frac{11}{32} = \frac{64}{121} * \frac{11}{32} = \frac{2}{11} * \frac{1}{1} = \frac{2}{11}$
7) $( \frac{3}{10})^2 * \frac{5}{6} = \frac{9}{100} * \frac{5}{6} = \frac{3}{20} * \frac{1}{2} = \frac{3}{40}$
8) $( \frac{2}{3})^2 * \frac{15}{24} = \frac{4}{9} * \frac{15}{24} = \frac{1}{3} * \frac{5}{6} = \frac{5}{18}$