Question

Chứng tỏ S=\(16^{20}-2^{74}⋮63\)

Answer 1

S = 16²⁰- 2⁷⁴

    = (2⁴)²⁰-2⁷⁴

   = 2⁸⁰ - 2⁷⁴ = 2⁷⁴ . 2⁶ - 2⁷⁴= 2⁷⁴.(2⁶-1)= 2⁷⁴.63 chia hết cho 63

=> S = 16²⁰-2⁷⁴ chia hết cho 63 (đpcm)

Answer 2

Ta có

 \(S=16^{20}-2^{74}⋮63\)

\(S=\left(2^4\right)^{20}-2^{74}\)

\(S=2^{80}-2^{74}\)

\(S=2^{74}\left(2^6-1\right)\)

\(S=2^{74}.63⋮63\)

Vậy \(S⋮63\) 

Answer 3

THANK YOU