Correct. You applied the rules of exponents correctly. $\displaystyle{{\left(\frac{{1}}{{{2}}^{{-{{2}}}}}\right)}}^{{-{{4}}}}={{\left({{2}}^{{2}}\right)}}^{{-{{4}}}}={{2}}^{{-{2}\cdot{4}}}={{2}}^{{-{{8}}}}=\frac{{1}}{{{2}}^{{8}}}=\frac{{1}}{{256}}\usepackage{cmbright}\Huge\$