Ответ: 1) 2/5; 2) 25; 3) 16/25; 4) 0; 5) 16/27; 6) 49; 7) 1/49; 8) 1; 9) 0; 10) 0; 11) 14/11; 12) 3/11
1)
\[\frac{5}{7} \cdot \frac{14}{25} = \frac{5 \cdot 14}{7 \cdot 25} = \frac{5 \cdot 2 \cdot 7}{7 \cdot 5 \cdot 5} = \frac{2}{5}\]
2)
\[40 \cdot \frac{5}{8} = \frac{40 \cdot 5}{8} = \frac{5 \cdot 8 \cdot 5}{8} = 25\]
3)
\[(\frac{4}{5})^2 = \frac{4^2}{5^2} = \frac{16}{25}\]
4)
\[\frac{7}{9} \cdot 0 = 0\]
5)
\[\frac{8}{9} : \frac{16}{27} = \frac{8}{9} \cdot \frac{27}{16} = \frac{8 \cdot 27}{9 \cdot 16} = \frac{8 \cdot 3 \cdot 9}{9 \cdot 2 \cdot 8} = \frac{3}{2} = 1 \frac{1}{2}\]
6)
\[14 : \frac{2}{7} = 14 \cdot \frac{7}{2} = \frac{14 \cdot 7}{2} = \frac{2 \cdot 7 \cdot 7}{2} = 49\]
7)
\[\frac{2}{7} : 14 = \frac{2}{7} \cdot \frac{1}{14} = \frac{2 \cdot 1}{7 \cdot 14} = \frac{2}{7 \cdot 2 \cdot 7} = \frac{1}{49}\]
8)
\[\frac{2}{7} : \frac{2}{7} = 1\]
9)
\[0 : \frac{2}{7} = 0 \cdot \frac{7}{2} = 0\]
10)
\[\frac{2}{7} : 0 = \text{не определено}\]
11)
\[1 : \frac{3}{11} = 1 \cdot \frac{11}{3} = \frac{11}{3} = 3 \frac{2}{3}\]
12)
\[\frac{3}{11} : 1 = \frac{3}{11}\]
Ответ: 1) 2/5; 2) 25; 3) 16/25; 4) 0; 5) 16/27; 6) 49; 7) 1/49; 8) 1; 9) 0; 10) 0; 11) 14/11; 12) 3/11