a)[tex]2^{3} *4^{3} =2^{3} *(2^{2}) ^{3} =2^{9}[/tex]
[tex]b)2^{7} *2^{4} =2^{11}[/tex]
[tex]c)2^{25} *(2^{2})^{13} *(2^{3})^7=2^{25}*2^{26}*2^{21}=2^{72}[/tex]
[tex]d)(3^{2})^2*(3^{3})^3*3^{7}=3^{18}[/tex]
[tex]e)(2^{2})^{22}*2^{40}=2^{88}[/tex]
[tex]f)\frac{3^{6}*4^{6}}{12^{4}} =\frac{3^{6}*2^{12}}{2^{8}*3^{4}} =3^{2}*2^{4}=9*16=144[/tex]
[tex]g)[5^{10}*(5^{2})^{2}:5^{40}=5^{14}:5^{40}=5^{-26}[/tex]
[tex]h)(5^{3})^{6}:({5^2)^{4}*5^{33}=5^{18}:5^{8}*5^{33}=5^{43}[/tex]