Question

So sánh A=333⁴⁴⁴ và B= 444³³³

Answer 1

A=333^444

A=(333^4)^111

A=1332^111

B=444^333

B=(444^3)^111

B=1332^111

Vì 1332^111=1332^111

Nên => A=B

Answer 2

333^444=333^(4.111)=(333^4)^111

444^333=444^(3.111)=(444^3)^111

So sánh 333^4 với 444^3:

333^4=(111.3)^4=111^4.3^4=111^4.81

444^3=(111.4)^3=111^3.4^3=111^3.64

Vì 111^4.81>111^3.64 => 333^4>444^3 => A>B.