1      37/63>377/677

2      333^444>444^333

phải tìm cách làm chu

333⁴⁴⁴ > 444³³³ 

k mik nha

A = : \(333^{444}\)= \(\left(111\cdot3\right)^{444}\)=\(111^{444}\)x\(3^{444}\)

= \(\left(111^4\right)^{111}\)x \(\left(3^4\right)^{111}\)=  \(\left(111^4\right)^{111}\cdot81^{111}\).

B = : \(444^{333}\)= \(\left(111\cdot4\right)^{333}\)=  \(111^{333}\)x  \(4^{333}\)=  \(\left(111^3\right)^{111}\)x \(\left(4^3\right)^{111}\)

=  \(\left(111^3\right)^{111}\cdot64^{111}\)

Ta có : \(\left(111^4\right)^{111}\cdot81^{111}và\left(111^3\right)^{111}\cdot64^{111}\)

Vì \(\left(111^4\right)^{111}>\left(111^3\right)\:^{111}\)và   \(81^{111}>64^{111}\)

=> \(\left(111^4\right)^{111}\cdot81^{111}>\left(111^3\right)^{111}\cdot64^{111}\)

Vậy \(333^{444}>444^{333}\)Chúc cậu học tốt !!!

333⁴⁴⁴=(3.111)^4.111=(81.111⁴)¹¹¹=(81.111.111³)¹¹¹

444³³³=(4.111)^3.111=(64.111³)¹¹¹

Vì (81.111.111³)¹¹¹>(64.111³)¹¹¹ nên 333⁴⁴⁴>444³³³

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

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

Ta thấy : \(333^{444}\)và \(444^{333}\)có cùng mũ là \(111\)

=> \(333^4=\left(3\times111\right)^4=3^4\times111^4=81\times111^4\)

\(444^3=\left(4\times111\right)^3=4^3\times111^3=64\times111^3\)

Ta thấy: \(81>64\)

Vậy => \(333^4>444^3\)

333⁴⁴⁴>444³³³

333^{4 >} 444³

Mọi người bấm nút đúng mình xem sao nó không được nè !

a)333⁴⁴⁴=111⁴⁴⁴*3⁴⁴⁴=111⁴⁴⁴*(3⁴)¹¹=111⁴⁴⁴*81¹¹

444³³³=111³³³*4³³³=111³³³*(4³)¹¹=111³³³*64¹¹

Vì 111⁴⁴⁴>111³³³; 81¹¹>64¹¹ nên 111⁴⁴⁴*81¹¹ > 111³³³*64¹¹ hay 333⁴⁴⁴>444³³³

b)3⁴⁵⁰=(3³)¹⁵⁰=27¹⁵⁰

5³⁰⁰=(5²)¹⁵⁰=25¹⁵⁰

Vì 27>25 nên 27¹⁵⁰>25¹⁵⁰ hay 3⁴⁵⁰>5³⁰⁰

333⁴⁴⁴=(333⁴)¹¹¹

444^333=(444^3)^111

A=(3.111)^4.111=(3⁴)¹¹¹.(111⁴)¹¹¹=81¹¹¹.(111⁴⁴⁴

B=(4.111)^3.111=(4³)¹¹¹.(111³)¹¹¹=64¹¹¹.111³³³

81¹¹¹>64¹¹¹; 111⁴⁴⁴>111³³³ => A>B

Ta có:

A = 333⁴⁴⁴ = (111.3)⁴⁴⁴ = 111⁴⁴⁴.3⁴⁴⁴ = 111³³³.111¹¹¹.3⁴⁴⁴

B = 444³³³ = 111³³³.4³³³ = 111³³³.(4³)¹¹¹ = 111³³³.64¹¹¹

Vì 111³³³.111¹¹¹.3⁴⁴⁴ > 111³³³.64¹¹¹

=> 333⁴⁴⁴ > 444³³³

=> A > B