uhhhhhhh......chờ tí xíu, suy nghĩ đã:
71\(^{50}\)=71\(^{2.25}\)=(71\(^2\))\(^{25}\)=5041\(^{25}\)
37\(^{75}\)=37\(^{3.25}\)=(37\(^3\))\(^{25}\)=50653\(^{25}\)
vì 5041^25 < 50653^25 ( số mũ bằng nhau mà 5041 < 50653)
=> 71\(^{50}\) < 37\(^{75}\)
Xong rồi, yeah !!!
TC : 71^50<72^50=(2^3.3^2)^50=2^150.3^100
37^75>36^75=(2^2.3^2)^75=2^150.3^150
=>71^50<72^50<36^75<37^75
Vậy 71^50<37^75