As title. If p and k are integers, and k is positive, then p^k should be an integer. Why is Sage telling me otherwise, and how can I convince it of the truth?
sage: var('p,k')
(p, k)
sage: assume(p,'integer')
sage: assume(k,'integer')
sage: assume(k>0)
sage: alpha = p^k
sage: alpha.is_integer()
False