1) 32^5 * 64^2 - 125^3; 2) log_12(1/2) + log_12(1/72);

Решение:

1. \( 32^5 \cdot 64^2 - 125^3 = (2^5)^5 \cdot (2^6)^2 - (5^3)^3 = 2^{25} \cdot 2^{12} - 5^9 = 2^{37} - 5^9 \)
2. \( \log_{12}\frac{1}{2} + \log_{12}\frac{1}{72} = \log_{12}\left(\frac{1}{2} \cdot \frac{1}{72}\right) = \log_{12}\left(\frac{1}{144}\right) = \log_{12}(12^{-2}) = -2 \)

Ответ: 1) \( 2^{37} - 5^9 \); 2) -2.