a) \(32^2 \cdot 2^5 = (2^5)^2 \cdot 2^5 = 2^{5 \cdot 2} \cdot 2^5 = 2^{10} \cdot 2^5 = 2^{10+5} = 2^{15} = 32768\)
б) \(\frac{3^5 \cdot 4^5}{12^3} = \frac{3^5 \cdot (2^2)^5}{(3 \cdot 4)^3} = \frac{3^5 \cdot 2^{10}}{3^3 \cdot 4^3} = \frac{3^5 \cdot 2^{10}}{3^3 \cdot (2^2)^3} = \frac{3^5 \cdot 2^{10}}{3^3 \cdot 2^6} = 3^{5-3} \cdot 2^{10-6} = 3^2 \cdot 2^4 = 9 \cdot 16 = 144\)