bn có lúc nào

gũi lời đâu mà

k làm chi

lúc bn mình

k bn rùi

bn toàn nói

là chưa k

\(333^{444}>444^{333}\)

chuc bn hoc gioi!

nhae

~~~~~~~~~

~~~~~~~~~~~

/(1^{64})

Ta có: 333⁴⁴⁴ = (333⁴)¹¹¹

444³³³= (444³)¹¹¹

Hai số đã có cùng số mũ, giờ ta so sánh 333⁴ với 444³

333⁴ = (3.111)⁴=3⁴.111⁴=81.111⁴

444³= (4.111)³=4³.111³=64.111³

Rõ ràng ta thấy: 81.111⁴>64.111³=>333⁴>444³

Từ đó suy ra: 333⁴⁴⁴>444³³³

K nha! Kb nha!

ta có:

\(333^{444}=333^{4\cdot111}=12296370321^{111}\)

\(444^{333}=444^{3\cdot111}=87528384^{111}\)

=>\(333^{444}>444^{333}\)

tk mk nhé

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

Vì 81¹¹¹ > 64¹¹¹ nên 3⁴⁴⁴ > 4³³³ 

Mà 111⁴⁴⁴ > 111³³³ => 3⁴⁴⁴.111⁴⁴⁴ > 4³³³.111³³³

Hay 333⁴⁴⁴ > 444³³³

              TA CÓ : 333⁴⁴⁴= 333^4.111=(333⁴)¹¹¹=12296370321¹¹¹ (1)

                            444³³³=444^3.111=(444³)¹¹¹=87528384¹¹¹         (2)

                         TỪ (1) VÀ  (2) => 333⁴⁴⁴ > 444³³³

\(A=333^{444}=111^{444}.3^{4.111}=111^{444}.81^{111}\)

\(B=444^{333}=111^{333}.4^{3.111}=111^{333}.64^{111}\)

Ta thấy *)444>333 nên \(111^{444}>111^{333}\)(1)

             *)81>64 nên \(81^{111}>64^{111}\)(2)

Từ (1) và (2) suy ra \(111^{444}.81^{111}>111^{333}.64^{111}\)

Vậy A>B

ta co 

A =333^444=(333^4)¹¹¹va B =(444^3)¹¹¹

^{ta duoc 333^4>444^3}

^{suy ra A>B}

^{vay A > B}

Ta có: 333^444= 111^444 x 3^444 
444^333 = 111^333 x 4^333 
Tách: 3^444 = (3^4)^111 =81^111 <=>4^333 = (4^3)^111 = 64^111 
Mà: {111^444 > 111^333 (1) 
{81^111 > 64^111 hay: (3^4)^111 > (4^3)^111 (2) 
Từ (1) và (2) ta có:333^444 > 444^333 

> 

chúc bạn học tốt

\(333^{444}\)và \(444^{333}\)

Ta có:

\(\Rightarrow\)\(333^{444}=\left(333^4\right)^{111}\)

\(\Rightarrow\)\(444^{333}=\left(444^3\right)^{111}\)

111 đã có cùng số mũ nên ta so sánh \(\left(333^4\right)\)và \(\left(444^3\right)\)ta đc:

\(\Rightarrow\)\(333^4=\left(3.111\right)^4=3^4.111^4=81.111^4\)

\(\Rightarrow\)\(444^3=\left(4.111\right)^3=4^3.111^3=64.111^3\)

Vì: \(81.111^4>61.111^3\)

\(\Rightarrow\)\(333^{444}>444^{333}\)

Ta có: \(81=3^4>4^3=64\)

\(\Rightarrow4^3\cdot111^3< 3^4\cdot111^3< 3^4\cdot111^4\)

\(\Rightarrow444^3< 333^4\)

\(\Rightarrow\left(444^3\right)^{111}< \left(333^4\right)^{111}\)

\(\Rightarrow444^{333}< 333^{444}\)

\(\Rightarrow-333^{444}< -444^{333}\)

\(333^{444}=\left(111.3\right)^{444}=111^{444}.3^{444}\)

\(444^{333}=\left(111.4\right)^{333}=111^{333}.4^{333}\)

mà \(3^{444}=3^{4.111}=81^{111}\)

\(4^{333}=4^{3.111}=64^{111}\)

ta có : \(111^{444}>111^{333}\)

\(81^{111}>64^{111}\)

\(\Rightarrow333^{444}>444^{333}\)

Ta có: \(333^{444}=\left(3.111\right)^{444}=3^{444}.111^{444}\)

          \(444^{333}=\left(4.111\right)^{333}=4^{333}.111^{333}\)

Ta lại có: \(3^{444}=\left(3^4\right)^{111}=81^{111}\)

               \(4^{333}=\left(4^3\right)^{111}=64^{111}\)

\(\Rightarrow3^{444}>4^{333}\left(81^{111}>64^{111}\right)\)

Mặt khác: \(111^{444}>111^{333}\)

\(\Rightarrow3^{444}.111^{444}>4^{333}.111^{333}\)

Vậy \(333^{444}>444^{333}\)

\(333^{444}=\left(333^4\right)^{111}=\left(111^4.81\right)^{111}\)

\(444^{333}=\left(444^3\right)^{111}=\left(111^3.64\right)^{111}\)

Dễ thấy \(111^4.81>111^3.64\)

\(\Rightarrow333^{444}>444^{333}\)

ta có : 333⁴⁴⁴ = (333⁴)¹¹¹

          444³³³ = (444³)¹¹¹

Ta so sánh: 333⁴ và 444³ 

Khi đó: 333⁴ = (3.111)⁴ = 3⁴.111⁴ =81.111³

              444³ = (4.111)³ = 4³.111³ =64.111³

81.111³ > 64.111³

=> 333⁴⁴⁴ > 444³³³