Question

so sánh

72^{45 -} 72^{44 và} 72^{44 -} 72⁴³

giải chi tiết

Answer 1

\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)

\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)

VÌ \(77^{44}.71>72^{43}.71\)

Nên \(72^{45}-72^{44}>72^{43}.71\)

Answer 2

\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)

\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)

Ta thấy: 72⁴⁴.71 > 72⁴³.71

=> \(72^{45}-72^{44}>72^{44}-72^{43}\)

Answer 3

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chi tiết trong câu hỏi tương tự

Answer 4

ta có:

72⁴⁵-7⁴⁴  = 72⁴⁴.72 - 72⁴³.72 = 72.(72⁴⁴-72⁴³)

Vì 72.(72⁴⁴-  72⁴³) > 72⁴⁴-72⁴³

=>72⁴⁵-  72⁴⁴ > 72⁴⁴- 72⁴³