Ta có: $333^{444}$
$=(3.111)^{444}$
$=3^{444}.$ $111^{444}$
Ta có: $444^{333}$
$=(4.111)^{333}$
$=4^{333}.$ $111^{333}$
Mặt khác: $3^{444}=$ $(3^4)^{111}=$ $81^{111}$
$4^{333}=$ $(4^3)^{111}=$ $64^{111}$
Do $81^{111}>$ $64^{111}$
-> $3^{444}>$ $4^{333}$ (1)
Mặt khác: $111^{444}>$ $111^{333}$ (2)
Từ (1) (2) -> $3^{444}.$ $111^{444}>$ $4^{333}.$ $111^{333}$
-> $333^{444}>$ $444^{333}$
Chúc bạn học tốt !!!!!
