Ta có:333⁴⁴⁴=111⁴⁴⁴.3⁴⁴⁴

444³³³=111³³³.4³³³

Ta lại có:3⁴⁴⁴=(3⁴)¹¹¹=81¹¹¹

4³³³=(4³)¹¹¹=64¹¹¹

Vì 81¹¹¹>64¹¹¹ và 111⁴⁴⁴>111³³³

nên 333⁴⁴⁴>444³³³

Ta có: 333⁴⁴⁴=(111.3)^111.4=(111⁴.3⁴)¹¹¹=(111⁴.81)¹¹¹

444³³³=(111.4)^111.3=(111³.4³)¹¹¹=(111³.64)¹¹¹

mà 111⁴.81>111³.64 => 333⁴⁴⁴>444³³³

hoặc cách này :

ta có : 333⁴⁴⁴=(3.111)⁴⁴⁴=3⁴⁴⁴.111⁴⁴⁴

444³³³=(4.111)³³³=4³³³.111³³³

ta lại có: 3⁴⁴⁴=(3⁴)¹¹¹=81¹¹¹

4³³³=(4³)¹¹¹=64¹¹¹

=>3⁴⁴⁴>4³³³ ( vì 81¹¹¹>64¹¹¹)

mặt khác 111⁴⁴⁴>111³³³(vì 444>333)

suy ra : 3⁴⁴⁴.111⁴⁴⁴>4³³³.111³³³

hay 333⁴⁴⁴>444³³³

Ta có:333^444=(3x111)^4x111

         333^444=(3^4)^111

         333^444=81^111

Ta có:444^333=(4x111)^3x111

         444^333=(4^3)^111

         444^333=64^111

Vì 81 > 64.Nên 81^111 > 64^111

Vậy 333^444 > 444^333.   

bang nhau

nho k minh nha

Ta có:

333⁴⁴⁴ = 111⁴⁴⁴.3⁴⁴⁴ = 111⁴⁴⁴.(3⁴)¹¹¹ = 111⁴⁴⁴.81¹¹¹

444³³³ = 111³³³.4¹¹¹ 

Vì 111³³³.4¹¹¹ < 111⁴⁴⁴.81¹¹¹

=> 444³³³ < 333⁴⁴⁴

Ta có:

333⁴⁴⁴ = 111⁴⁴⁴.3⁴⁴⁴ = 111⁴⁴⁴.(3⁴)¹¹¹ = 111⁴⁴⁴.81¹¹¹

444³³³ = 111³³³.4¹¹¹ 

Vì 111³³³.4¹¹¹ < 111⁴⁴⁴.81¹¹¹

=> 444³³³ < 333⁴⁴⁴

Ta có : 

333⁴⁴⁴ = (111 . 3)⁴⁴⁴ = 111⁴⁴⁴ . 3⁴⁴⁴ = 111⁴⁴⁴ . (3⁴)¹¹¹ = 111⁴⁴⁴ . 81¹¹¹

444³³³ = (111 . 4)³³³ = 111³³³ . 4³³³ = 111³³³ . (4³)¹¹¹ = 111³³³ . 64¹¹¹

Vì 111⁴⁴⁴ . 81¹¹¹ > 111³³³ . 64¹¹¹

=> 333⁴⁴⁴ > 444³³³

Ủng hộ mk nha !!! ^_^

333⁴⁴⁴>444³³³

333⁴⁴⁴=3⁴⁴⁴.111⁴⁴⁴

=(3⁴)¹¹¹.111³³³.111¹¹¹

=81¹¹¹.111³³³.111¹¹¹

444³³³=4³³³.111³³³

=(4³)¹¹¹.111³³³

=64¹¹¹.111³³³

81¹¹¹.111³³³.111¹¹¹>64¹¹¹.111³³³

=>333⁴⁴⁴>444³³³

Vậy 333⁴⁴⁴>444³³³

Ta có: 333^444=333^4.111=(333^4)^111

444^333=444^3.111=(444^3)^111

Thấy cả 2 vế đều có ^111 nên ta so sánh: 333^4 và 444^3

Ta có: 333^4=(3.111)^4=3^4.111^4

444^3=(111.4)^3=4^3.111^3

Vì 4>3 => 333^444>444^333

a,333^444 < 444^333

B,5^340 > 7^255

333⁴⁴⁴>444³³³