#)Giải :
\(S=16^5+2^{15}=\left(2^4\right)^5+2^{15}=2^{20}+2^{15}=2^{15}\left(2^5+1\right)=2^{15}.33\) chia hết cho 33
\(\Rightarrow S⋮33\left(đpcm\right)\)
ta thấy 165 = 220
=> 220 + 215
= 215(25 + 1)
= 215 x 33
S = 165 + 215
S = 220 + 215
S = 215 . ( 25 + 1 ) = 33 . 215 \(⋮\)33
Vì:\(16^5=\left(2^4\right)^5=2^{20}\)
\(\Rightarrow S=16^5+2^{15}=2^{20}+2^{15}\)
\(=2^{15}.\left(2^5+1\right)\)
\(=2^{15}.33⋮33\)
\(\RightarrowĐpcm\)
~ Rất vui vì giúp đc bn ~ ^_<
Ta có : \(16^5=2^{20}\)
\(\Rightarrow2^{20}+2^{15}\)
\(=2^{15}\left(2^5+1\right)\)
\(=2^{15}.33\)