Ответ:

[tex]1) {6}^{24} \: \: {36}^{12} \\ {36}^{12} = ( {6}^{2} {)}^{12} = {6}^{24} \\ \\ {6}^{24} = {36}^{12} [/tex]

[tex] {2}^{500} \: \: {5}^{200} \\ {2}^{500} =( {2}^{5} {)}^{100} \\ 5 {}^{200} = ( {5}^{2} {)}^{ 100} \\ \\ {2}^{5} = 32 \\ {5}^{2} = 25 \\ \\ {2}^{5} > {5}^{2} \\ \frac{2}{500} > \frac{5}{200} [/tex]