Vì 538>536 mà 536=(53)12=12512
1124=(112)12=12112
Vì 12512>12112 nên 536>1124
\(\Rightarrow5^{38}>11^{24}\)
\(5^{38}>5^{36}>5^{3\cdot12}=\left(5^3\right)^{12}=125^{12}>121^{12}=\left(11^2\right)^{12}=11^{24}\)
Vậy \(5^{28}>11^{24}\)
Ta có:
538 > 536 = (53 )12 = 12512 > 12112 = ( 112 )12 = 1124
Vậy 538 > 1124