4) 9² · 27; 5) 6¹² · (6³)⁵ / ((6⁵)⁴ · 6¹); 6) 25⁴ · 125¹⁰ / 5⁸⁷

1. \(9^2\cdot27=81\cdot27=2187\).
2. \(\frac{6^{12}\cdot(6^3)^5}{(6^5)^4\cdot6}=\frac{6^{12}\cdot6^{15}}{6^{20}\cdot6}=6^{27-21}=6^6=46656\).
3. \(\frac{25^4\cdot125^{10}}{5^{87}}=\frac{(5^2)^4\cdot(5^3)^{10}}{5^{87}}=5^{8+30-87}=5^{-49}=\frac1{5^{49}}\).

Ответ: 4) 2187; 5) 46656; 6) \(\frac1{5^{49}}\).