Вычислите: (6^11*8^11)/(4^11*12^11)*(2^5*5^22-2*5^23)/25^11.

\[\frac{6^{11} \cdot 8^{11}}{4^{11} \cdot 12^{11}} \cdot \frac{2^{5} \cdot 5^{22} - 2 \cdot 5^{23}}{25^{11}} =\]

\[= \frac{2^{11} \cdot 3^{11} \cdot \left( 2^{3} \right)^{11}}{\left( 2^{2} \right)^{11} \cdot \left( 2^{2} \right)^{11} \cdot 3^{11}} \cdot \frac{2 \cdot 5^{22}\left( 2^{4} - 5 \right)}{\left( 5^{2} \right)^{11}} =\]

\[= \frac{2^{44}}{2^{22} \cdot 2^{22}} \cdot \frac{2 \cdot 5^{22}(16 - 5)}{5^{22}} =\]

\[= 2 \cdot 11 = 22.\]