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1. The problem statement, all variables and given/known data

Prove that ord(a) = ord(bab^{-1})

2. Relevant equations

N/A

3. The attempt at a solution

Part 1: Show that ord(bab^{-1}) = n

Suppose that ord(a) = n

Then a^{n}= e.

I then have to use the associative law to show (bab^{-1})^{n}= e but that's where I'm having troublem.

Part 2: Show that ord(a) = n

Suppose ord(bab^{-1}) = e

Then (bab^{-1})^{n}= e

I then have to use the associative law to show that a^{n}= e but I'm stuck there as well.

Help is greatly appreciated.

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# Homework Help: Prove that ord(a) = ord(bab^(-1))

**Physics Forums | Science Articles, Homework Help, Discussion**