Question

So sánh :\(333^{444}và444^{333}\)

 

Answer 1

333⁴⁴⁴ = (333⁴)¹¹¹ = (3⁴.111⁴)¹¹¹

444³³³ = (444³)¹¹¹ = (4³.111³)¹¹¹

ta có 3⁴ = 81 > 64 =  4³.111⁴ > 111³ nên  (3⁴.111⁴)¹¹¹ > (4³.111³)¹¹¹

vậy 333⁴⁴⁴ > 444³³³