Question

so sánh hai số A=333⁵⁵⁵ và B=555³³³

Answer 1

vfyhgjn

Answer 2

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

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

Vì \(125^{111}< 243^{111}\)và \(111^{333}< 111^{555}\)

\(\Rightarrow125^{111}.111^{333}< 243^{111}.111^{555}\)

Vậy \(555^{333}< 333^{555}\)

Answer 3

A=\(333^{555} = (333^5)^{111} = (( 111 . 3 )^5 ) ^{111} =( 111^5 . 3^5 )^{111} \)

B=\(555^{333}= ( 555^3) ^{111} =(( 111.5 ) ^3 )^{111} = (111^3 . 5^3 )^{111} \)

Ta thấy \(111^5 > 111^3 \)  và \(3^5(243)>5^3 (125)\)

=> A>B

Answer 4

A=333^555=(3.111)^5.111=(3^5.111^5)^111=(243.111^5)^111

B=555^333=(5.111)^3.111=(5^3.111^3)^111=(125.111^3)^111

Do: 243.111^5>125.111^3

=>A>B=>333^555>555^333.

Answer 5

333⁵⁵⁵  = ( 333⁵)¹¹¹  = ( 3.3.3.3.3 .111.111.111.111.111 ) ¹¹¹= ( 3⁵. 111⁵)¹¹¹  = ( 243.111⁵) ¹¹¹

555³³³ = ( 555³)¹¹¹ = (5.5.5.111.111.111) = ( 5³.111³)¹¹¹=(125.111³)¹¹¹

vì 125 < 243 và 111³ < 111⁵  nên ( 125.111³)¹¹¹ < (243.111⁵)¹¹¹

vậy 333⁵⁵⁵ > 555³³³

Answer 6

 có gjmhkghhnnk

Answer 7

khó quá