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\(72^{45}-72^{44}=72^{44}\times\left(72-1\right)=72^{44}\times71\)
\(72^{44}-72^{43}=72^{43}\times\left(72-1\right)=72^{43}\times71\)
Vì \(44>43\Rightarrow72^{44}>72^{43}\Rightarrow72^{44}\times71>72^{43}\times71\)
\(\Rightarrow72^{45}-72^{44}>72^{44}-71^{43}\)
Ta có : \(72^{45}-72^{44}=72^{44}\times\left(72-1\right)=72^{44}\times71\)
\(72^{44}-72^{43}=72^{43}\times\left(72-1\right)=72^{43}\times71\)
\(\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)
cái này mình học ròi
\(72^{45}-72^{44}=72^{44}.72-72^{44}.1=72^{44}.\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}.72-72^{43}.1=72^{43}.\left(72-1\right)=72^{43}.71\)
vì \(72^{44}.71>72^{43}.71\)nên \(72^{45}-72^{44}>72^{44}-72^{43}\)
+Ta co : 7245-744=721=72
7244-7243=721=72
Do 72=72
Vay 7245-7244=7244-7243
\(72^{45}-72^{44}=72^{44}\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}\left(72-1\right)=72^{43}.71\)
\(Vì\) \(72^{44}.71>72^{43}.71\)
\(\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)
\(72^{45}-72^{44}\)và \(72^{44}-72^{43}\)
Ta có : \(72^{45}-72^{44}=72.72^{44}-72^{44}=72^{44}\left(72-1\right)=72^{44}.71.\)
\(\)\(72^{44}-72^{43}=72.72^{43}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71.\)
Vì \(72^{44}.71>72^{43}.71\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}.\)
VẬY .....
72^45-72^44 = 72^44 (72-1)
72^44-72^43 = 72^43 ( 72 -1 )
vì 72^44>72^43 => 72^44(72-1)>72^43(72-1)
Hay 72^45-72^44 > 72^44-72^43
\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)
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
=> \(72^{45}-72^{44}>72^{44}-72^{43}\)
\(72^{45}-72^{44}=72^{1+44}-72^{44}=72.72^{44}-72^{44}=\left(72-1\right).72^{44}=71.72^{44}\)
\(72^{44}-72^{43}=72^{1+43}-72^{43}=72.72^{43}-72^{43}=\left(72-1\right).72^{43}=71.72^{43}\)
Ta thấy \(71.72^{44}>71.72^{43}\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}.\)
\(72^{45}-72^{44}=72^{44}\left(72-1\right)=71.72^{44}\\ 72^{44}-72^{43}=72^{43}\left(72-1\right)=71.72^{43}\\ Vì:72^{44}>72^{43}\Rightarrow72^{44}.71>72^{43}.71\\ Nên:72^{45}-72^{44}>72^{44}-72^{43}\)
7245 - 7244 = 7244(72 - 1) = 7244.71
7244 - 7243 = 7243(72 - 1) = 7243.71
Vì 7244.71 > 7243.71 nên 7245 - 7244 > 7244 - 7243