Вычисление:

1. $$\frac{3^3 \cdot (3^2)^4}{(3^3)^2 \cdot 3^4} = \frac{3^3 \cdot 3^{2 \cdot 4}}{3^{3 \cdot 2} \cdot 3^4} = \frac{3^3 \cdot 3^8}{3^6 \cdot 3^4} = \frac{3^{3+8}}{3^{6+4}} = \frac{3^{11}}{3^{10}} = 3^{11-10} = 3^1 = 3$$
2. $$\frac{(2^5)^2 \cdot 4^3}{8^4 \cdot 2^2} = \frac{2^{5\cdot2} \cdot (2^2)^3}{(2^3)^4 \cdot 2^2} = \frac{2^{10} \cdot 2^{2\cdot3}}{2^{3\cdot4} \cdot 2^2} = \frac{2^{10} \cdot 2^6}{2^{12} \cdot 2^2} = \frac{2^{10+6}}{2^{12+2}} = \frac{2^{16}}{2^{14}} = 2^{16-14} = 2^2 = 4$$