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A = 333555 = (3.111)555 = 3555.111555 = (35)111.111555 = 243111.111555
555333 = (5.111)333 = 5333.111333 = (53)111.111333 = 125111.111333
Vì 243111.111555 > 125111.111333
=> 333555 > 555333
hay A > B
\(vi333^{555}>555^{333}nenA>B\)
chuc bn hoc gioi!
nhae
bn
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333555=(3.111)5.111=(243.1115)111=(243.111.111.1113)111
555333=(5.111)3.111=(125.1113)111
=>333555>555333
tick mk nha
Ta có: \(333^{555}=\left(3.111\right)^{555}=3^{555}.111^{555}=\left(3^5\right)^{111}.111^5=243^{111}.111^5\)
\(555^{333}=\left(5.111\right)^{333}=5^{333}.111^{333}=\left(5^3\right)^{111}.111^{555}=125^{111}.111^{555}\)
Vì \(243^{111}.111^{555}>125^{111}.111^3\) nên \(333^{555}>555^{333}\)
333555 và 555333
= 333555 = ( 3.111 )555 = 3555 . 111555 = ( 45 )111 . 111555 = 1024111 . 111555
= 555333 = ( 5.111 )333 = 5333 . 111333 = ( 53 )111 . 111333 = 125111 . 111333
Vì 1024111 . 111555 > 125111 . 111333
\(\Rightarrow\)3555 > 555333
Đặt 333555 =A ; 555333 =B Ta có:
A=333555 =(3.111)5.111 =35.111 .1115.111
B=555333 = (5.111)3.111 = 53.111 .1113.111
Vậy.........
\(5^{333}v\text{à}3^{555}\)
\(Tac\text{ó}:5^{333}=\left(5^3\right)^{111}=125^{111}\)
\(Tac\text{ó}:3^{555}=\left(3^5\right)^{111}=243^{111}\)
\(\Rightarrow5^{333}< 3^{555}\left(V\text{ì}125^{111}< 243^{111}\right)\)
ta có 5333=(53)111=125111
3555=(35)111=27111
125111>27111 => 5333 > 3555
\(555^{333}=\left(5.111\right)^{333}=5^{333}.111^{333}=\left(5^3\right)^{111}.111^{333}=125^{111}.111^{333}\)
\(333^{555}=\left(3.111\right)^{555}=3^{555}.111^{555}=\left(3^5\right)^{111}.111^{555}=243^{111}.111^{555}\)
Vì 125111 < 243111 và 111333 < 111555
=> \(125^{111}.111^{333}<243^{111}.111^{555}\)
Vậy \(555^{333}<333^{555}\).
vfyhgjn
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 \(555^{333}< 333^{555}\)