Ответ:

  1. \(16^{\frac12}=\sqrt{16}=4\).
  2. \(27^{\frac23}=(\sqrt[3]{27})^2=3^2=9\).
  3. \(8^{\frac13}=\sqrt[3]{8}=2\).
  4. \(64^{\frac23}=(\sqrt[3]{64})^2=4^2=16\).
  5. \(16^{-0.75}=16^{-\frac34}=(2^4)^{-\frac34}=2^{-3}=\frac18\).
  6. \(9^{-1.5}=9^{-\frac32}=(\sqrt9)^{-3}=3^{-3}=\frac1{27}\).

Ответ: 1) 4; 2) 9; 3) 2; 4) 16; 5) \(\frac18\); 6) \(\frac1{27}\).