Ta có:
$63^{7}$ < $64^{7}$ = ($2^{6}$)$^{7}$ = $2^{42}$.
$16^{12}$ = ($2^{4}$)$^{12}$ = $2^{48}$.
Vì $63^{7}$ < $64^{7}$ < $16^{12}$ ⇒ $63^{7}$ < $16^{12}$.
Ta có:
$107^{50}$ = ($107^{2}$)$^{25}$ = $11449^{25}$.
$73^{75}$ = ($73^{3}$)$^{25}$ = $389017^{25}$.
Vì $11449^{25}$ < $389017^{25}$ ⇒ $107^{50}$ < $73^{75}$.
Xin hay nhất!