Simplify the expression $\displaystyle{{2}}^{{9}}\cdot{{8}}^{{-{{2}}}}\cdot{{4}}^{{8}}\usepackage{cmbright}\Huge\$ , expressing the answer as a power of 2.

To write the exponent $\displaystyle{{a}}^{{b}}\usepackage{cmbright}\Huge\$ , use the following notation: a^b.