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})

a: \(5^{300}=25^{150}\)

\(3^{450}=27^{150}\)

mà 25<27

nên \(5^{300}< 3^{450}\)

a: 5300=251505300=25150

3450=271503450=27150

mà 25<27

nên 5300<3450

Ta có : 333444=(3.111)444=3444.111444 444333=(4.111)333=4333.111333

Ta lại có:

3444=(34 )111=81111

4 333=(43 )111=64111

=>3444>4333 ( vì 81111>64111)

Mà : 111444>111333(vì 444>333)

Suy ra :

3444.111444>4333.111333

hay 333444>444333

bằng nhau

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 \(333^{444}>444^{333}\)

333⁴⁴⁴ = (3 . 111)^{4 . 111} = (81 . 111⁴)¹¹¹

444³³³ = (4 . 111)^{3 . 111} = (64 . 111³)¹¹¹

Vì: (81 . 111⁴)¹¹¹  >   (64 . 111³)¹¹¹

=> 333⁴⁴⁴ > 444³³³ 

tick nhé

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