285. Вычислите: А) \(\frac{32^7}{16^4\cdot64^4}\); Б) \(\frac{27^6\cdot81^5}{3^{40}}\); В) \(\frac{25^{26}}{125^{11}\cdot5^{20}}\); Г) \(\frac{343^{14}\cdot49^{20}}{7^{65}}\); Д) \(\frac{100^8}{2^{15}\cdot5^{14}}\); Е) \(\frac{2^{14}\cdot3^{11}}{72^6}\); Ё) \(\frac{24^3}{18^4}\); Ж) \(\frac{45^6}{75^3}\).

1. \(\frac{2^{35}}{2^{16}\cdot2^{24}}=2^{-5}=\frac1{32}\).
2. \(\frac{3^{18}\cdot3^{20}}{3^{40}}=3^{-2}=\frac19\).
3. \(\frac{5^{52}}{5^{33}\cdot5^{20}}=5^{-1}=\frac15\).
4. \(\frac{7^{42}\cdot7^{40}}{7^{65}}=7^{17}\).
5. \(\frac{2^{16}\cdot5^{16}}{2^{15}\cdot5^{14}}=2\cdot5^2=50\).
6. \(\frac{2^{14}\cdot3^{11}}{(2^3\cdot3^2)^6}=\frac1{2^4\cdot3}=\frac1{48}\).
7. \(\frac{(2^3\cdot3)^3}{(2\cdot3^2)^4}=\frac{2^5}{3^5}=\frac{32}{243}\).
8. \(\frac{(3^2\cdot5)^6}{(3\cdot5^2)^3}=3^9=19683\).

Ответ: А) \(\frac1{32}\); Б) \(\frac19\); В) \(\frac15\); Г) \(7^{17}\); Д) 50; Е) \(\frac1{48}\); Ё) \(\frac{32}{243}\); Ж) 19683.