Ответ:

  1. \(6^{1/2}=\sqrt6\).
  2. \(27^{1/3}=3\).
  3. \(8^{2/3}=(\sqrt[3]{8})^2=4\).
  4. \(81^{3/4}=(\sqrt[4]{81})^3=27\).
  5. \(16^{-0.75}=16^{-3/4}=1/27\).
  6. \(9^{-1.5}=9^{-3/2}=1/27\).