$ Ta có : 333^{444} = (3.111)^{444} = 3^{444}.111^{444}= (3^{4})^{111}.111^{444}=81.111^{444}$ $\\$ $ Mà : 444^{333} = (4.111)^{333} = 4^{333}.111^{333}=(4^{3})^{111}.111^{333}= 64.111^{333}$ $\\$ $ Vì: 81 > 64 ; 111^{444} > 64.111^{333}$ $\\$ $ Vậy : 333^{444} > 444^{333}$