[tex]2^{3} *(2^{2} )^{6}*(2^{3})^{9}:2^{38}=2^{3+12+27-38}=2^{4}=16[/tex]
d) [tex]15^{10} :( 5^{9} *3 ^{9} )=15^{10} :( 5 *3 )^{9} =15^{10} : 15^{9} =15^{10-9}=15[/tex]
i) [tex](2^{3} )^{12} :2^{34} +(5^{2} )^{6} :5^{11} +3^{24} :(3^{2} )^{11} =2^{3*12-34} +5^{2*6-11} +3^{24-2*11} [/tex]