Ta có :
\(3333^{4444}=3.1111^{4.1111}=\left(3.1111^4\right)^{1111}=3^4\)
\(4444^{3333}=4.1111^{3.1111}=\left(4.1111\right)^{1111}=4^3\)
vì \(3^4=81\)
\(4^3=64\)
\(\Rightarrow3^4>4^3\)
Vậy \(3333^{4444}>4444^{3333}\)
\(3333^{4444}=3333^{4.1111}=\left(3333^4\right)^{1111}\)\(=\left(3^4.1111^4\right)^{1111}\)
\(4444^{3333}=4444^{3.1111}=\left(4444^3\right)^{1111}\)\(=\left(4^3.1111^3\right)^{1111}\)
Và chắc chắn \(3^4.1111^4>4^3.1111^3\) nên \(3333^{4444}>4444^{3333}\)
K mk nha, mk nhanh nhất