\(3^{600};4^{400}\)
\(3^{600}=\left(3^3\right)^{200}\)
\(4^{400}=\left(4^2\right)^{200}\)
Vì : \(27^{200}>16^{200}\)
\(\Rightarrow3^{600}>4^{400}\)
Ta có:
\(3^{600}=3^{3\times200}=\left(3^3\right)^{200}=27^{200}\)
\(4^{400}=4^{2\times200}=\left(4^2\right)^{200}=16^{200}\)
Vì 27 > 16 \(\Rightarrow27^{200}>16^{200}\Leftrightarrow3^{600}>4^{400}\)
Ta có:3^600=(3^3)^200=27^200
4^400=(2^2)^200=4^200
vì 27>4 nên 27^200>4^200
Vậy 3^600>4^200
3600=(33)200=27200
4400=(42)200=16200
Vì 27200 lớn hơn 16200 nên 3600 lớn hơn 4400
