\[\frac{64^{- 2} \cdot 2^{5}}{1024^{0} \cdot 32^{- 3}} = \frac{\left( 2^{6} \right)^{- 2} \cdot 2^{5}}{1 \cdot \left( 2^{5} \right)^{- 3}} =\]
\[= \frac{2^{- 12} \cdot 2^{5}}{2^{- 15}} = 2^{- 12 + 5 + 15} = 2^{8}.\]