[Toán 8]Đồng dư nè!

K

kissofdead

M

minhtuyb

[tex]2009\equiv 3(mod 17)[/tex]
[tex]\Rightarrow 2009^8\equiv 3^8\equiv 16\equiv -1(mod 17)[/tex]
[tex]\Rightarrow 2009^{2008}\equiv (-1)^{251}\equiv -1(mod 17)[/tex]
[tex]\Rightarrow 2009^{2009}\equiv -1.2009\equiv 14(mod 17)[/tex]
Vậy số dư phép chia trên là 14
 
You must log in or register to reply here.
Top Bottom