Results 1 to 3 of 3

Math Help - Congruences

  1. #1
    Junior Member
    Joined
    Mar 2009
    From
    Madison, WI
    Posts
    42

    Congruences

    Using the fact that aa' \equiv bb' (mod  m), prove that if a \equiv b (mod  m) then a^e \equiv b^e (mod  m) for any e \geq 0.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    Posts
    678
    Thanks
    1
    Quote Originally Posted by Zennie View Post
    Using the fact that aa' \equiv bb' (mod  m), prove that if a \equiv b (mod  m) then a^e \equiv b^e (mod  m) for any e \geq 0.
    are you sure u hv the complete question here?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2009
    Posts
    68
    Quote Originally Posted by Zennie View Post
    Using the fact that if \color{red}a\equiv b\!\pmod m and \color{red}a'\equiv b'\!\pmod m then \color{red}aa' \equiv bb'\!\pmod m\color{black}, prove that if a \equiv b (mod  m) then a^e \equiv b^e (mod  m) for any e \geq 0.
    Use induction on e.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Congruences
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: May 7th 2009, 03:26 PM
  2. Congruences
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 18th 2009, 06:12 AM
  3. More congruences
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 17th 2009, 11:40 PM
  4. Congruences
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 6th 2008, 07:18 PM
  5. Congruences
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: September 29th 2008, 10:49 AM

Search Tags


/mathhelpforum @mathhelpforum