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Abstract Algebra modular Arithmatic Proof

  • Thread starter ETuten
  • Start date
  • #1
10
0

Homework Statement



Prove 10n18 10 for all n ϵ N

Homework Equations




I have no idea where to even begin this proof.

The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
392
0
What is the definition of [tex]a\equiv_n b[/tex] ?
 
  • #3
10
0
it is said to be congruent integer modulo if n|a-b
 
  • #4
392
0
So apply this definition to your problem. What are you trying to show? I.e., you are trying to show ____ is divisible by ____?

What would have to be true for a number to be divisible by ____?
 

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