1. Вычислите: а) \frac{7}{8} \cdot \frac{9}{28}; 6) \frac{18}{19}: \frac{27}{38}; B) (\frac{2}{3})^4 \cdot (\frac{3}{2})^4.

1. Вычислите:

a) $$ \frac{7}{8} \cdot \frac{9}{28} = \frac{7 \cdot 9}{8 \cdot 28} = \frac{1 \cdot 9}{8 \cdot 4} = \frac{9}{32} $$

б) $$ \frac{18}{19} : \frac{27}{38} = \frac{18}{19} \cdot \frac{38}{27} = \frac{18 \cdot 38}{19 \cdot 27} = \frac{2 \cdot 2}{1 \cdot 3} = \frac{4}{3} = 1\frac{1}{3} $$

в) $$ (\frac{2}{3})^4 \cdot (\frac{3}{2})^4 = \frac{2^4}{3^4} \cdot \frac{3^4}{2^4} = \frac{2^4 \cdot 3^4}{3^4 \cdot 2^4} = 1 $$

Ответ: а) $$\frac{9}{32}$$; б) $$1\frac{1}{3}$$; в) 1