[tex]\frac{(3^{3})^{-2}*27^{14}}{81^{-4}:(3\sqrt{3})^{6} } =\frac{3^{-6}*(3^{3})^{14}}{(3^{4})^{-4}:(\sqrt{9*3})^{6} } =\frac{3^{-6}*3^{42}}{3^{-16}:(\sqrt{27})^{6} } =\frac{3^{36}}{3^{-16}:{27}^{3} }=\frac{3^{36}}{3^{-16}:{(3^{3})}^{3} }=\frac{3^{36}}{3^{-16}:{3^{9} }}=\frac{3^{36}}{3^{-25} }}=3^{61}[/tex]
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[tex]\frac{(3^{3})^{-2}*27^{14}}{81^{-4}:(3\sqrt{3})^{6} } =\frac{3^{-6}*(3^{3})^{14}}{(3^{4})^{-4}:(\sqrt{9*3})^{6} } =\frac{3^{-6}*3^{42}}{3^{-16}:(\sqrt{27})^{6} } =\frac{3^{36}}{3^{-16}:{27}^{3} }=\frac{3^{36}}{3^{-16}:{(3^{3})}^{3} }=\frac{3^{36}}{3^{-16}:{3^{9} }}=\frac{3^{36}}{3^{-25} }}=3^{61}[/tex]