\(=\left(2^3\right)^8+2^{20}\)
\(=2^{24}+2^{20}\)
\(=2^{20}.\left(2^4+1\right)\)\(=2^{20}.17⋮17\)
Vậy ...
88 + 220
= (23)8 + 220
= 224 + 220
= 220.24 + 220.1
= 220(24 + 1)
= 220.17 ⋮ 17 (đpcm)
(8^8+2^20)
=(2^3)^8+2^20
=2^24+2^20
=2^44
chúc bạn học giỏi
\(8^8+2^{20}\)
\(=\left(2^3\right)^8+2^{20}\)
\(=2^{24}+2^{20}\)
\(=2^{20}.\left(2^4+1\right)\)
\(=2^{20}.\left(16+1\right)\)
\(=2^{20}.17\)
Ta có: \(\hept{\begin{cases}17⋮17\\2^{20}\inℕ\end{cases}\Rightarrow}17.2^{20}⋮17\)
\(\Rightarrow8^8+2^{20}⋮17\)
đpcm
Tham khảo nhé~
