Question

Hãy so sánh

\(72^{45}\) - \(72^{44}\) va \(72^{44}\) - \(72^{43}\)

Answer 1

+Ta co : 72⁴⁵-7⁴⁴=72¹=72

              72⁴⁴-72⁴³=72¹=72

Do 72=72

Vay 72⁴⁵-72⁴⁴=72⁴⁴-72⁴³

Answer 2

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

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

\(Vì\) \(72^{44}.71>72^{43}.71\)

\(\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)

Answer 3

72⁴⁵ - 72⁴⁴ = 72^{45 - 44} = 72¹

72⁴⁴ - 72⁴³ = 72^{44 - 43} = 72¹

Vì 72¹ = 72¹ nên 72⁴⁵ - 72⁴⁴ = 72⁴⁴ - 72⁴³

Học tốt!!!