Question

chứng tỏ rằng

8^5+2^11 chia hết cho17

Answer 1

có 8^5+2^11 = 2^15+2^11

= 2^11.(16+1)

=2^11.17 chia hết cho 17

=>8^5+2^11 chia hết cho 17.

Answer 2

\(8^5+2^{11}=\left(2^3\right)^5+2^{11}=2^{15}+2^{11}=2^{11}\left(2^4+1\right)=2^{11}\cdot17⋮17\)Vậy \(8^5+2^{11}\)chia hết cho 17