2^30+3^30+4^30 > 4^30
= (4^3)^10
= 64^10 > 48^10
= (2.24)^10
= (2^10)(24^10) > 3.(24^10)
Vậy 2^30+3^30+4^30 > 3.(24^10)
230+330+430=230+(22)30+330=230+260+330=23.10+23.20+32.15=610+620+615=610.(1+610+65)
3.2410=3.(3.23)10=3.310+230=3.32.5.23.10=3.65.610=3.615
Vì 610.(1+610+65) > 3.615 ( nhìn bên trên )
=> 230+330+430 > 3.2410