Question

A=333^444

B=444^333

so sanh ai nhanh minh tich cho

Answer 1

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

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

Vậy A < B .

Answer 2

ai tích mình mình tích lại cho

Answer 3

A < B

Chúc học tốt !!!!!!!

Answer 4

ai tích mình mình tích lại cho

Answer 5

A=\(333^{444}\)

=\(111^{444}.3^{444}\)

=\(111^{333+111}.3^{4.111}\)

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

=\(111^{333}.81^{111}.111^{111}\)

B=\(444^{333}\)

=\(111^{333}.4^{333}\)

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

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

=\(111^{333}.64^{111}\)

A= \(111^{333}.81^{111}.111^{111}\)

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

Mà \(81>64\)=> \(81^{111}>64^{111}\)=> \(111^{333}.81^{111}\)\(>111^{333}.64^{111}\)=>\(111^{333}.81^{111}.111^{111}\)\(>\)\(111^{333}.64^{111}\)=>\(A>B\)