762. 1) 3^(5 log_3 2); 2) (1/2)^((1/6) log_(1/2) 2); 3) 0,3^(2 log_(0,3) 6); 4) 7^((1/2) log_7 9).

1. \(3^{5\log_3 2}=\left(3^{\log_3 2}\right)^5=2^5=32\).
2. \(\left(\frac12\right)^{\frac16\log_{\frac12}2}=\left(\frac12\right)^{-\frac16}=2^{\frac16}=\sqrt[6]{2}\), поскольку \(\log_{\frac12}2=-1\).
3. \(0.3^{2\log_{0.3}6}=\left(0.3^{\log_{0.3}6}\right)^2=6^2=36\).
4. \(7^{\frac12\log_7 9}=\left(7^{\log_7 9}\right)^{\frac12}=\sqrt9=3\).

Ответ: 1) 32; 2) \(\sqrt[6]{2}\); 3) 36; 4) 3.