[tex]2^{14} \cdot 3^{12} \cdot 6^{-11} =2^{14} \cdot 3^{12} \cdot (\dfrac{1}{6} )^{11} =\dfrac{2^{14} \cdot 3^{12} }{6^{11} } =\dfrac{2^{14} \cdot 3^{12} }{(2\cdot 3)^{11} }=\dfrac{2^{14} \cdot 3^{12} }{2^{11} \cdot 3^{11} }=2^{14-11} \cdot 3^{12-11} =2^{3} \cdot 3^{1} =8\cdot 3 = 24[/tex]
