Вычислить (57): 1) \(64^{1/2}\); 2) \(27^{1/3}\); 3) \(8^{2/3}\); 4) \(81^{3/4}\); 5) \(16^{-0.75}\); 6) \(9^{-1.5}\).

1. \(64^{1/2}=\sqrt{64}=8\).
2. \(27^{1/3}=\sqrt[3]{27}=3\).
3. \(8^{2/3}=\left(\sqrt[3]{8}\right)^2=2^2=4\).
4. \(81^{3/4}=\left(\sqrt[4]{81}\right)^3=3^3=27\).
5. \(16^{-0.75}=16^{-3/4}=\dfrac{1}{16^{3/4}}=\dfrac{1}{(\sqrt[4]{16})^3}=\dfrac18\).
6. \(9^{-1.5}=9^{-3/2}=\dfrac{1}{9^{3/2}}=\dfrac{1}{(\sqrt9)^3}=\dfrac1{27}\).

Ответ: 1) 8; 2) 3; 3) 4; 4) 27; 5) \(\frac18\); 6) \(\frac1{27}\).