# How to simplify x^a/x into x^(a-1) OR how to solve...?

Can any body show me which function simplifies x^a/x into x^(a-1)? A related question is how to solve x^a == 2*x to have x = 2^(1/(a-1))? Mathematica works out these questions well, but I'm a huge fan of Sage/Maxima, and eager to get an answer using Sage. Thanks!