Question

Evaluate (2 ^ 3) ^ 2 and (2 ^ 3)(2 ^ 2) and explain why they are different.​

Answer 1

$\large{\bf{\mathfrak{\dag{\blue{\underline{\underline{Answer}}}}}}}$

${( {2}^{3} )}^{2} = {2}^{(3 \times 2)}$

$= {2}^{6}$

$( {2}^{3} )( {2}^{2} ) = {2}^{(3 + 2)}$

$= {2}^{5}$