Вычислить (57–60): 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. \(64^{\frac12}=\sqrt{64}=8\);
2. \(27^{\frac13}=\sqrt[3]{27}=3\);
3. \(8^{\frac23}=\left(\sqrt[3]{8}\right)^2=2^2=4\);
4. \(81^{\frac34}=\left(\sqrt[4]{81}\right)^3=3^3=27\);
5. \(16^{-0.75}=16^{-\frac34}=\frac{1}{16^{\frac34}}=\frac18\);
6. \(9^{-1.5}=9^{-\frac32}=\frac{1}{9^{\frac32}}=\frac1{27}\).

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