Question

cmr:35^2004-35^2007 chia het cho 17

Answer 1

Ta có 35²⁰⁰⁴ -35²⁰⁰⁷ = 35²⁰⁰⁴ - 35²⁰⁰⁴⁺³ = 35²⁰⁰⁴ - 35²⁰⁰⁴.35³ 

= 35²⁰⁰⁴(1 - 35³) = - 42874. 35²⁰⁰⁴

Ta thấy 42874 : 17 = 2522

nên -42874.35²⁰⁰⁴ chia hết cho 17

Vậy......

Answer 2

\(35^{2004}-35^{2007}=35^{2004}-35^{2007-3} \)
\(=35^{2004}-35^{2004}\div35^3\)
\(=35^{2004}\left(1-35^3\right)\)
\(=35^{2004}\times\left(-42874\right)\)

Ta Thay :\(-42874\) Chia het cho 17
=\(-42874\div17=2522\)
 

Answer 3

sr ko co phan mem danh VNI ne ko o dau