Step-by-step explanation:
[tex] = ( {2}^{2})^{4} \div {2}^{3} [/tex]
[tex] = {2}^{2 \times 4} \div {2}^{3} [/tex]
[tex] = {2}^{12} \div {2}^{3} [/tex]
[tex] = {2}^{12 - 3} [/tex]
[tex] = {2}^{9} [/tex]
[tex] = 512[/tex]