Вычислите (6/11)^9*(1 5/6)^7.

Ответ:

\[\left( \frac{6}{11} \right)^{9} \cdot \left( 1\frac{5}{6} \right)^{7} = \left( \frac{6}{11} \right)^{9} \cdot \left( \frac{11}{6} \right)^{7} =\]

\[= \frac{6^{9} \cdot 11^{7}}{11^{9} \cdot 6^{7}} = \frac{6^{2}}{11^{2}} = \frac{36}{121}\]