8) (1 2/3)^3 \(\cdot\) (3/5)^2 + (21,36 - 20,4) : 0,06 - 16 16/21

Решение:

8. Восьмой пример:

1. \( 1\frac{2}{3} = \frac{5}{3} \)
2. \( (\frac{5}{3})^3 = \frac{125}{27} \)
3. \( (\frac{3}{5})^2 = \frac{9}{25} \)
4. \( \frac{125}{27} \cdot \frac{9}{25} = \frac{5}{3} \cdot 1 = \frac{5}{3} \)
5. \( 21,36 - 20,4 = 0,96 \)
6. \( 0,96 : 0,06 = \frac{96}{100} : \frac{6}{100} = 96 : 6 = 16 \)
7. \( \frac{5}{3} + 16 - 16\frac{16}{21} = \frac{5}{3} + 16 - \frac{352}{21} = \frac{35}{21} + \frac{336}{21} - \frac{352}{21} = \frac{371 - 352}{21} = \frac{19}{21} \)

Ответ: 19/21