[tex]\displaystyle{ \frac{(64^{2}\cdot 2^{-2})^{3}}{27} = }[/tex]
[tex]\displaystyle{ = \frac{[(2^{6})^{2} \cdot \frac{1}{2^{2}}]^{3}}{27} }[/tex]
[tex]\displaystyle{ =\frac{(\frac{2^{12}}{2^{2}})^{3}}{27} }[/tex]
[tex]\displaystyle{ =\frac{(2^{10})^{3}}{3^{3}} }[/tex]
[tex]\displaystyle{ =\frac{2^{30}}{3^{3}} }[/tex]
