Ответ:

  1. \(2^{4/5}\cdot2^{11/5}=2^{15/5}=2^3=8\).
  2. \(5^{2/7}:5^{5/7}=5^{-3/7}=\dfrac1{\sqrt[7]{5^3}}\).
  3. \(9^{2/3}:9^{1/6}=9^{4/6-1/6}=9^{1/2}=3\).
  4. \(4^{1/3}:4^{5/6}=4^{-1/2}=\dfrac12\).
  5. \(\left(8^{1/12}\right)^{-4}=8^{-1/3}=\dfrac12\).

Ответ: 1) 8; 2) \(5^{-3/7}\); 3) 3; 4) \(\frac12\); 5) \(\frac12\).