\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)
VÌ \(77^{44}.71>72^{43}.71\)
Nên \(72^{45}-72^{44}>72^{43}.71\)
\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)
Ta thấy: 7244.71 > 7243.71
=> \(72^{45}-72^{44}>72^{44}-72^{43}\)
>
chi tiết trong câu hỏi tương tự
ta có:
7245-744 = 7244.72 - 7243.72 = 72.(7244-7243)
Vì 72.(7244- 7243) > 7244-7243
=>7245- 7244 > 7244- 7243
