a)[tex]\frac{2^{5} *2^{3} }{2^{8} } =\frac{2^{8} }{2^{8} } =1[/tex]
b)[tex]\frac{3^{4}*3^{3} }{3^{2} *3^{0} } =\frac{3^{7}}{3^{2}*1 }=\frac{3^{7}}{3^{2} }=3^{5}=243[/tex]
c)[tex]\frac{9^{5}*9^{2} }{9*9^{4} } =\frac{9^{7}}{9^{1}*9^{4} }=\frac{9^{7}}{9^{5} }=9^{2}=81[/tex]
d)[tex]\frac{5^{11} }{5^{6} *5^{6} } =\frac{5^{11} }{5^{12} }=5^{-1} =\frac{1}{5}[/tex]