Powers of transcendental numbers

Hi guys,

I'm having trouble proving that if is transcendent, then and (where is some non-zero rational constant) are transcendental.

I know that if is algebraic, then it is the root of some polynomial, . Then, if this is a linear polynomial in , is it right to conclude that any roots will be in ? If that is the case, can we then set some other polynomial, and conclude a contradiction?

For the other one, if we have is algebraic, then it is the root of . I don't know where to proceed from here, really.

Thank you in advance,

HTale.