1. ## Order Function problem

Suppose p is a prime dviding a^k. Show that p|a and show p^k | a^k.

Use the order function to show this.

2. What exactly do you mean by the order function?

3. If
m is a nonzero integer and if p is a prime, then Ordp(m) is the largest

integer
k such that p^k divides m.

4. Originally Posted by jzellt
If
m is a nonzero integer and if p is a prime, then Ordp(m) is the largest

integer
k such that p^k divides m.
That's what I assumed, but I just wanted to be sure.

5. So, any advice on this one...