Вычислите: (2/3)^6*(1 1/2)^8.

Ответ:

\[\left( \frac{2}{3} \right)^{6} \cdot \left( 1\frac{1}{2} \right)^{8} = \left( \frac{2}{3} \right)^{6} \cdot \left( \frac{3}{2} \right)^{8} = \frac{2^{6} \cdot 3^{8}}{3^{6} \cdot 2^{8}} = \frac{3^{2}}{2^{2}} =\]

\[= \frac{9}{4} = 2,25\]