Question

сравните
1997^10 и 100003^8

Answer 1

$1) 1997^{10}\ \textless \ 2000^{10}=2^{10}*1000^{10}=2*8^3*10^{30}\ \textless \ 2*10^{33}\ \textless \ \\ \ \textless \ 10^{34}\ \textless \ 10^{40} \\ 2) 100003^8\ \textgreater \ 10^{5*8}=10^{40} \\ 3) 1997^{10}\ \textless \ 100003^8$