\[27^{- 3}\ :81^{- 2} = \left( 3^{3} \right)^{- 3}\ \ :\left( 3^{4} \right)^{- 2} =\]
\[= 3^{- 9}\ :3^{- 8} = 3^{- 1} = \frac{1}{3}\]