Question

Chứng minh : S = 16⁵ + 2¹⁵ chia hết cho 33

Answer 1

https://olm.vn/hoi-dap/detail/4286241071.html

Answer 2

#)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

\(\Rightarrow S⋮33\left(đpcm\right)\)

Answer 3

ta thấy 16⁵ = 2²⁰

=> 2²⁰ + 2¹⁵

= 2¹⁵(2⁵ + 1)

= 2¹⁵ x 33

Answer 4

S = 16⁵ + 2¹⁵

S = 2²⁰ + 2¹⁵

S = 2¹⁵ . ( 2⁵ + 1 ) = 33 . 2¹⁵ \(⋮\)33

Answer 5

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 ~ ^_<

Answer 6

Ta có : \(16^5=2^{20}\)

\(\Rightarrow2^{20}+2^{15}\)

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

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