3.
[tex]a) \ 100^{100} = (10^{2})^{100} = 10^{2\cdot100} = 10^{200} \neq 10^{100000}\\\\b) \ (4^{3})^{2} = 4^{3\cdot2} = 4^{6} \neq 4^{8}\\\\c) \ (3^{2})^{4} = 3^{2\cdot4} = 3^{8}\neq 3^{2+4}\\\\d) \ (4^{2})^{5} = 4^{2\cdot5}[/tex]
