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444^555 = (444^5)^111 = (111^5.4^5)^111.
555^444 = (555^4)^111 = (111^4.5^4)^111.
Do 111^5 > 111^4 va 4^5 > 5^4 nen 111^5.4^5 > 111^4.5^4
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta xét :
\(444^{555}=\left(444^5\right)^{111}=\left(111^5.4^5\right)^{111}=\left(111^5.1024\right)^{111}\)
\(555^{444}=\left(555^4\right)^{111}=\left(111^4.5^4\right)^{111}=\left(111^4.625\right)^{111}\)
Mà \(111^5.1024>111^4.625\)
\(\Rightarrow444^{555}>555^{444}\)
ta có: \(444^{555}=444^{\left(111\times5\right)}=\left(444^5\right)^{111}\)
\(555^{444}=555^{\left(111\times4\right)}=\left(555^4\right)^{111}\)
ta có: \(444^5=\left(4\times111\right)^5=4^5\times111^5\)= \(1024\times111\times111^4\)
\(555^4=\left(5\times111\right)^4=5^4\times111^4\) = \(625\times111^4\)
ta có: \(1024\times111\times111^4\) > \(625\times111^4\)
\(\Rightarrow\)\(444^5>555^4\)
mình làm hơi tắt bạn tự hoàn thiện nha.
![](https://rs.olm.vn/images/avt/0.png?1311)
555^444 = (5.111)^444 = 5^444.111^444
444^555 = (4.111)^555 = 4^555.111^555
5^444 = 5^4.111 = (5^4)^111 = 625^111
4^555 = 4^5.111 = (4^5)^111 = 1024^111
Vì 1024>625 => 444^555 > 555^444
k nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
444-555+666=555
444-555+666
=-111+666
=-555
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