[tex]4^{2}:2^{5}=(2^{2})^{2}:2^{5}=2^{-1}=\frac{1}{2}[/tex]
[tex]32^{5}:64^{6}=(2^{5})^{5}:(2^{6})^{6}=2^{25}:2^{30}=2^{-5}=\frac{1}{32}[/tex]
[tex]32^{5}:64^{6}[/tex]=[tex]\left ( 2^{5} \right )^{5}:\left ( 2^{6} \right )^{6}[/tex]=[tex]2^{25}:2^{30}=2^{-5}= \frac{1}{32}[/tex]