\(\eqalign{
& a)\,\,{\left( {{2^2}} \right)^3} = {\left( 2 \right)^{2.3}} = {2^6} \cr
& \Rightarrow {\left( {{2^2}} \right)^3} = {2^6} \cr
& b)\,\,{\left[ {{{\left( {{{ - 1} \over 2}} \right)}^2}} \right]^5} = {\left( {{{ - 1} \over 2}} \right)^{2.5}} = {\left( {{{ - 1} \over 2}} \right)^{10}} \cr
& \Rightarrow {\left[ {{{\left( {{{ - 1} \over 2}} \right)}^2}} \right]^5} = {\left( {{{ - 1} \over 2}} \right)^{10}} \cr} \)
