25. Вычислите \frac{1}{16} \cdot (\frac{2}{3})^{12} \cdot (\frac{27}{4})^5

\frac{1}{16} \cdot (\frac{2}{3})^{12} \cdot (\frac{27}{4})^5 = \frac{1}{2^4} \cdot \frac{2^{12}}{3^{12}} \cdot \frac{(3^3)^5}{(2^2)^5} = \frac{1}{2^4} \cdot \frac{2^{12}}{3^{12}} \cdot \frac{3^{15}}{2^{10}} = \frac{2^{12} \cdot 3^{15}}{2^{14} \cdot 3^{12}} = \frac{3^3}{2^2} = \frac{27}{4} = 6,75 Ответ: 6,75