Question

So Sanh

555³³³ va 333⁵⁵⁵

Giai cho tiet gium minh nhe thanks

Answer 1

\(555^{333}=\left(5.111\right)^{333}=5^{333}.111^{333}=\left(5^3\right)^{111}.111^{333}=125^{111}.111^{333}\)

\(333^{555}=\left(3.111\right)^{555}=3^{555}.111^{555}=\left(3^5\right)^{111}.111^{555}=243^{111}.111^{555}\)

Vì 125¹¹¹ < 243¹¹¹ và 111³³³ < 111⁵⁵⁵

=> \(125^{111}.111^{333}