Question

So sánh hai lũy thừa 333⁴⁴⁴ và 444³³³

 

Answer 1

Ta có:

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

444³³³ = 111³³³.4¹¹¹ 

Vì 111³³³.4¹¹¹ < 111⁴⁴⁴.81¹¹¹

=> 444³³³ < 333⁴⁴⁴

Answer 2

Ta có:

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

444³³³ = 111³³³.4¹¹¹ 

Vì 111³³³.4¹¹¹ < 111⁴⁴⁴.81¹¹¹

=> 444³³³ < 333⁴⁴⁴

Answer 3

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 !!! ^_^