Question

[nguyen chung ha]

so sánh A=333⁴⁴⁴ và B=444³³³

Answer 1

[Minh Hiền]

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

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

Vì 81¹¹¹ > 64¹¹¹ và 111⁴⁴⁴ > 111³³³

=> 81¹¹¹.111⁴⁴⁴ > 64¹¹¹.111³³³

hay 333⁴⁴⁴ > 444³³³

Vậy A > B.

Answer 2

[Uchiha Nguyễn]

A > B