2.7. Вычислите: а) \(\frac{3^3\cdot12^4}{3^5\cdot4^2}\); б) \(\frac{14^7\cdot28^2}{7^9\cdot2^4}\); в) \(\frac{625\cdot15^3}{5^5\cdot3}\); г) \(\frac{11^5\cdot5^6}{25\cdot55^5}\).

1. \(\frac{3^3\cdot12^4}{3^5\cdot4^2}=\frac{3^3\cdot(3\cdot4)^4}{3^5\cdot4^2}=3^2\cdot4^2=144\).
2. \(\frac{14^7\cdot28^2}{7^9\cdot2^4}=\frac{(2\cdot7)^7\cdot(2^2\cdot7)^2}{7^9\cdot2^4}=2^7=128\).
3. \(\frac{625\cdot15^3}{5^5\cdot3}=\frac{5^4\cdot(5\cdot3)^3}{5^5\cdot3}=5^2\cdot3^2=225\).
4. \(\frac{11^5\cdot5^6}{25\cdot55^5}=\frac{11^5\cdot5^6}{5^2\cdot(11\cdot5)^5}=\frac{1}{5}\).

Ответ: а) 144; б) 128; в) 225; г) \(\frac{1}{5}\).