5) $$\frac{6^{12} \cdot (6^3)^5}{(6^5)^4 \cdot 6^4}$$

$$\frac{6^{12} \cdot (6^3)^5}{(6^5)^4 \cdot 6^4} = \frac{6^{12} \cdot 6^{3\cdot5}}{6^{5\cdot4} \cdot 6^4} = \frac{6^{12} \cdot 6^{15}}{6^{20} \cdot 6^4} = \frac{6^{12+15}}{6^{20+4}} = \frac{6^{27}}{6^{24}} = 6^{27-24} = 6^3 = 216$$

Ответ: 216