Respuesta :

Answer: Our required value is 21.

Step-by-step explanation:

Since we have given that

[tex]4567.7890.3^8+3579(mod\ 31)[/tex]

Now,

[tex]4567(mod\ 31)=10\\\\7890(mod\ 31)=16\\\\3^8(mod\ 31)=20\\\\3579(mod\ 31)=14[/tex]

So, it becomes,

[tex](10\times 16\times 20+14)(mod\ 31)\\\\=3214(mod\ 31)\\\\=21[/tex]

Hence, our required value is 21.