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)/(8¹ · 2³).

1. \(\dfrac{3^2\cdot4^3\cdot12^2}{9^2\cdot6^3}=\dfrac{9\cdot64\cdot144}{81\cdot216}=\dfrac{512}{9}\).
2. \(\dfrac{5^2\cdot6^4\cdot12^2}{15^2\cdot9^3}=\dfrac{25\cdot1296\cdot144}{225\cdot729}=\dfrac{128}{3}\).
3. \(\dfrac{12^2\cdot4^3\cdot6^2}{8^2\cdot18^3}=\dfrac{144\cdot64\cdot36}{64\cdot5832}=\dfrac{8}{9}\).
4. \(\dfrac{(3^3)^3\cdot9^7\cdot2^2}{8\cdot2^3}=\dfrac{3^9\cdot3^{14}\cdot2^2}{2^3\cdot2^3}=\dfrac{3^{23}}{16}\).

Ответ: 1) \(\frac{512}{9}\); 2) \(\frac{128}{3}\); 3) \(\frac{8}{9}\); 4) \(\frac{3^{23}}{16}\).