Выполните действия (умножение, деление, возведение в степень): а) 2/7 · 1/2; б) 3/5 · 5/7; в) 3/5 · 7/9; г) 6/7 · 1 2/5; д) 2 1/5 · 5/11; е) 3 2/5 · 1 3/17; ж) 3²; з) 4³; и) (2/3)²; к) (3/4)³; л) (1 1/2)³; м) (2 1/3)²; н) 3/5 : 1/5; о) 2/15 : 8/5; п) 5/8 : (−15/4); р) (−1 1/3) : (2 1/3); с) 5 1/3 : 8/9; т) (−3 1/4) : (−5 3/2); у) (−4 1/6) · 5; ф) 6 : (−1 1/2).

1. \(\frac{2}{7}\cdot\frac{1}{2}=\frac{1}{7}\).
2. \(\frac{3}{5}\cdot\frac{5}{7}=\frac{3}{7}\).
3. \(\frac{3}{5}\cdot\frac{7}{9}=\frac{7}{15}\).
4. \(\frac{6}{7}\cdot1\frac{2}{5}=\frac{6}{7}\cdot\frac{7}{5}=\frac{6}{5}=1\frac{1}{5}\).
5. \(2\frac{1}{5}\cdot\frac{5}{11}=1\).
6. \(3\frac{2}{5}\cdot1\frac{3}{17}=\frac{17}{5}\cdot\frac{20}{17}=4\).
7. \(3^2=9\).
8. \(4^3=64\).
9. \(\left(\frac{2}{3}\right)^2=\frac{4}{9}\).
10. \(\left(\frac{3}{4}\right)^3=\frac{27}{64}\).
11. \(\left(1\frac{1}{2}\right)^3=\left(\frac{3}{2}\right)^3=\frac{27}{8}=3\frac{3}{8}\).
12. \(\left(2\frac{1}{3}\right)^2=\left(\frac{7}{3}\right)^2=\frac{49}{9}=5\frac{4}{9}\).
13. \(\frac{3}{5}:\frac{1}{5}=3\).
14. \(\frac{2}{15}:\frac{8}{5}=\frac{2}{15}\cdot\frac{5}{8}=\frac{1}{12}\).
15. \(\frac{5}{8}:\left(-\frac{15}{4}\right)=\frac{5}{8}\cdot\left(-\frac{4}{15}\right)=-\frac{1}{6}\).
16. \(\left(-1\frac{1}{3}\right):\left(2\frac{1}{3}\right)=-\frac{4}{7}\).
17. \(5\frac{1}{3}:\frac{8}{9}=\frac{16}{3}\cdot\frac{9}{8}=6\).
18. \(\left(-3\frac{1}{4}\right):\left(-5\frac{3}{2}\right)=\frac{13}{4}:\frac{13}{2}=\frac{1}{2}\).
19. \(\left(-4\frac{1}{6}\right)\cdot5=-\frac{25}{3}=-8\frac{1}{3}\).
20. \(6:\left(-1\frac{1}{2}\right)=6:\left(-\frac{3}{2}\right)=-4\).

Ответ: а) \(\frac{1}{7}\); б) \(\frac{3}{7}\); в) \(\frac{7}{15}\); г) \(1\frac{1}{5}\); д) \(1\); е) \(4\); ж) \(9\); з) \(64\); и) \(\frac{4}{9}\); к) \(\frac{27}{64}\); л) \(3\frac{3}{8}\); м) \(5\frac{4}{9}\); н) \(3\); о) \(\frac{1}{12}\); п) \(-\frac{1}{6}\); р) \(-\frac{4}{7}\); с) \(6\); т) \(\frac{1}{2}\); у) \(-8\frac{1}{3}\); ф) \(-4\).