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## Homework Statement

## Homework Equations

## The Attempt at a Solution

Well thankfully I just have to present closure under mult. inverses and closure under addition. But I seem to be going in circles...if a is in G, then we need to show that a

^{-1}is also in G.

So a*a

^{-1}= 1

_{F}, but is a

^{-1}in G...so we can write a = a

^{p}, then if we can write a

^{-1}= (a

^{p})

^{-1}, then we'll be good. But how the heck do I do that?

For closure under addition, I'm not really sure how to use the binomial theorem here, since we know that a + b means we can write them both as a

^{p}+ b

^{p}, and now we've got to show that a

^{p}+ b

^{p}can be written as (α + β)

^{p}. Not sure how to get this one started either.

Any help is appreciated, thanks in advance.