536 = (53)12 = 12512 > 12112 = (112)12 = 1124.Vậy 536 > 1124
So sánh 2 lũy thừa :
\(5^{36};11^{24}\)
\(\Leftrightarrow5^{36}>11^{24}\)
so sánh :
536 va 1124
So sánh 2 lũy thừa :
536 ; 1124
⇔536 > 1124
nhé !
536=56.6=(56)6=156256
1124=116.4=(114)6=146416
Ta có :
\(^{5^{36}}\)=\(^{5^{3\times}^{12}}\)=\(^{\left(5^3\right)^{12}}\)=\(^{125^{12}}\)
\(^{11^{24}}\)=\(^{11^{2\times12}}\)=\(^{\left(11^2\right)^{12}}\)=\(^{121^{12}}\)
Vì \(125^{12}\)>\(121^{12}\)\(\Rightarrow\)\(5^{36}\)>\(11^{24}\)
Vậy\(5^{36}\)>\(11^{24}\).