[tex]( {2}^{10} - {2}^{9} )( {2}^{9} - {2}^{8} )( {2}^{8} - {2}^{7} ) \div {2}^{24} [/tex]
[tex] =\left\{ [ {2}^{9} (2 - 1)][ {2}^{8} (2 - 1)] [ {2}^{7} (2 - 1)] \right\}\div {2}^{24} [/tex]
[tex] =( {2}^{9} \times {2}^{8} \times {2}^{7} ) \div {2}^{24} [/tex]
[tex] = {2}^{9 + 8 + 7} \div {2}^{24} [/tex]
[tex] = {2}^{24} \div {2}^{24} [/tex]
[tex] = 1[/tex]