2. Вычислите: 1) (3² · 4³ · 12²)/(9² · 6³); 2) (5² · 6⁴ · 12²)/(15² · 9³); 3) (12² · 4³ · 6²)/(8² · 18³); 4) ((3³)³ · 9⁷ · 2²)/(81⁵ · 2³).

1. \(\frac{3^2\cdot4^3\cdot12^2}{9^2\cdot6^3}=\frac{2^6\cdot3^4}{2^3\cdot3^5}=\frac8{3}\).
2. \(\frac{5^2\cdot6^4\cdot12^2}{15^2\cdot9^3}=\frac{2^8\cdot3^6\cdot5^2}{3^2\cdot5^2\cdot3^6}=\frac{256}{9}\).
3. \(\frac{12^2\cdot4^3\cdot6^2}{8^2\cdot18^3}=\frac{2^8\cdot3^4}{2^9\cdot3^6}=\frac1{18}\).
4. \(\frac{(3^3)^3\cdot9^7\cdot2^2}{81^5\cdot2^3}=\frac{3^9\cdot3^{14}\cdot2^2}{3^{20}\cdot2^3}=\frac3{2}\).

Ответ: 1) \(\frac83\); 2) \(\frac{256}{9}\); 3) \(\frac1{18}\); 4) \(\frac32\).