57. Вычислить: 1) 64^(1/2); 2) 27^(2/3); 3) 8^(2/3); 4) 81^(3/4); 5) 16^(-0,75); 6) 9^(-1,5).

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

Ответ: 8; 9; 4; 27; \(\frac18\); \(\frac1{27}\).