Can someone tell me is this right? Its about rational exponents.
is true only if for
I will show that this is true.
If we divide both sides with we get
which is
is true only if so then it must be so then its true.
Is that ok?
It's been a while since I did proofs of this kind, but looking at what at you've got - it looks to be ok. Nice logical methodology etc.
One thing to point out though - if this is a written assignment, I would make your explanations clearer (such as a raised to the 0 = 1, hence the exponents have to be greater than 0).
Just a written explanation like this whilst going through the process makes it easier to read, and also to follow through logically.