1.41. Найдите значение выражения: а) \(\frac{4^{16}}{8^{10}}\); б) \(\frac{25^{11}}{125^7}\); в) \(\frac{3^{14}\cdot(3^4)^2}{3^{20}}\); г) \(\frac{125^7}{5^9\cdot25^5}\); д) \(\frac{27^5}{9^2\cdot81^2}\); е) \(\frac{64^2\cdot32^5}{16^3\cdot8^8}\).

1. \(\frac{4^{16}}{8^{10}}=\frac{2^{32}}{2^{30}}=2^2=4\).
2. \(\frac{25^{11}}{125^7}=\frac{5^{22}}{5^{21}}=5\).
3. \(\frac{3^{14}(3^4)^2}{3^{20}}=3^{14+8-20}=3^2=9\).
4. \(\frac{125^7}{5^9\cdot25^5}=\frac{5^{21}}{5^9\cdot5^{10}}=5^2=25\).
5. \(\frac{27^5}{9^2\cdot81^2}=\frac{3^{15}}{3^4\cdot3^8}=3^3=27\).
6. \(\frac{64^2\cdot32^5}{16^3\cdot8^8}=\frac{2^{12+25}}{2^{12+24}}=2\).

Ответ: а) 4; б) 5; в) 9; г) 25; д) 27; е) 2.