Question

cho Q=16^5+2^15

chứng tỏ Q chia hết cho 33

 

Answer 1

\(Q=16^5+2^{15}\)

\(\Leftrightarrow Q=\left(2^4\right)^5+2^{15}\)

\(\Leftrightarrow Q=2^{20}+2^{15}\)

\(\Leftrightarrow Q=2^{15}.\left(2^5+1\right)\)

\(\Leftrightarrow Q=2^{15}.33\)

<=> Q chia hết cho 33 ( đpcm )

Answer 2

ta thấy : 16⁵=2²⁰

=> A=2²⁰+2¹⁵

=2¹⁵.2⁵+2¹⁵

=2¹⁵.(2⁵+1)

=2¹⁵.33

vì 33\(⋮\)33

=>2¹⁵.33 \(⋮\)33

Vậy Q \(⋮\)33