[tex]a)( {3}^{2} \times {2}^{6} - {2}^{5} \times 6) \div 12 - {2}^{5} [/tex]
[tex] = (9 \times 64 - 32 \times 6) \div 12 - 32[/tex]
[tex] = (576 - 192) \div 12 - 32[/tex]
[tex] = 384 \div 12 - 32[/tex]
[tex] = 32 - 32[/tex]
[tex] = 0[/tex]
[tex]b)( {7}^{4} - {7}^{3} ) \div ( {7}^{2} - 7) - {2}^{3} \times 5[/tex]
[tex] = [ {7}^{3} (7 - 1)] \div [7(7 - 1)] - 8 \times 5[/tex]
[tex] = ( {7}^{3} \times 6) \div (7 \times 6) - 40[/tex]
[tex] = ( {7}^{3} \div 7)(6 \div 6) - 40[/tex]
[tex] = {7}^{3 - 1} \times 1 - 40[/tex]
[tex] = {7}^{2} - 40[/tex]
[tex] = 49 - 40[/tex]
[tex] = 9[/tex]
