The question is in the title, The 2 confirmed answers are 1 and -1, but may 0 work? Undefined = Undefined

Let n = x

Look at the graphs of 1/x^3 and 1/x^5 here : https://www.desmos.com/calculator/h6g3vll7f0

Note that they intersect at x = -1 and x = 1

But....they do NOT intersect at x = 0

So....x = n = 0 is not a solution