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.
