Ta có : \(\frac{333}{444}< 1\);\(\frac{444}{333}>1\)

\(\Rightarrow\frac{333}{444}< \frac{444}{333}\)hay A < B

Vậy A < B .

ai tích mình mình tích lại cho

A < B

Chúc học tốt !!!!!!!

=2.75+3980+13

=2.75+3993

=3995.75

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

\(333^{444}=\left(3.111\right)^{^{444}}=3^{444}.111^{444}=\left(3^4\right)^{111}.111^{444}=81^{111}.111^{444}\)

\(444^{333}=\left(4.111\right)^{333}=4^{333}.111^{333}=\left(4^3\right)^{111}.111^{333}=64^{111}.111^{333}\)

Vì 81 > 64 nên 81¹¹¹ > 64¹¹¹ và 111⁴⁴⁴ > 111³³³

=> 81¹¹¹.111⁴⁴⁴ > 64¹¹¹.111³³³

=> \(333^{444}>444^{333}\)

> cần cách trình bày ko 

2 cách:

Cách 1:

333⁴⁴⁴=(333⁴)¹¹¹=12296370321¹¹¹

444³³³=(444³)¹¹¹=87528384¹¹¹

vì 12296370321>87528384 nên 12296370321¹¹¹>87528384¹¹¹

hay 333⁴⁴⁴>444³³³

Cách 2:

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

b, 333⁴⁴⁴ = (3.111)^4.111 = (81.111⁴)¹¹¹

444³³³ = (4.111)^3.111 = (64.111³)¹¹¹

Vì (81.111⁴)¹¹¹ > (64.111³)¹¹¹ nên 333⁴⁴⁴ > 444³³³

\(333^{444}=111^{444}.3^{444}=111^{444}.81^{111}>111^{333}.64^{111}=111^{333}.4^{333}=444^{333}\)

tach ngoac ra lam ban nhe

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: \(81=3^4>4^3=64\)

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

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

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

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

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

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