a)
\({\left( {2.5} \right)^2} = {10^2} = 100\)
\({2^2}{.5^2} = 4.25 = 100\)
\( \Rightarrow {\left( {2.5} \right)^2} = {2^2}{.5^2}\)
b)
\(\eqalign{& {\left( {{1 \over 2}.{3 \over 4}} \right)^3} = {\left( {{3 \over 8}} \right)^3} = {{{3^3}} \over {{8^3}}} = {{27} \over {512}} \cr & {\left( {{1 \over 2}} \right)^3}.{\left( {{3 \over 4}} \right)^3} = {1 \over 8}.{{27} \over {64}} = {{27} \over {512}} \cr & \Rightarrow {\left( {{1 \over 2}.{3 \over 4}} \right)^3} = {\left( {{1 \over 2}} \right)^3}.{\left( {{3 \over 4}} \right)^3} \cr} \)
