[tex]3.a)3^{4}\cdot3^{7}=3^{4\cdot7}=3^{28}\\ \\b)17^{3}\cdot17^{18}=17^{3\cdot18}=17^{54} \\ \\ c)13^{8}\cdot13^{9}=13^{8\cdot9}=13^{72}\\ \\d)7^{11}\cdot7^{4}=7{11\cdot4}=7^{44}[/tex]
5.
[tex]5.a)12^{24}:3^{24} =(2^{2}\cdot3)^{24}:3^{24}=(2^{2\cdot24)}\cdot3^{24}):3^{24}=2^{48}[/tex]
[tex]b)125^{45}:5^{45}=5^{3\cdot45}:5^{45}=5^{3}[/tex]
[tex]c)18^{17}:9^{17}=(3^{34}\cdot2^{17}):3^{34}=2^{17}[/tex]
[tex]d)9^{36}:3^{36}=3^{2\cdot36}:3^{36} =3^{2}[/tex]
[tex]e)9^{21}:3^{21}=3^{2\cdot21}:3^{21} =3^{2}\\ \\f)125^{8}:5^{8}=5^{3\cdot8}:5^{8} =5^{3}[/tex]
