the 360th power of a function

[Link]

given f(x) = 1/(1-X), X is a real number and that X is not 0 or 1;

Write down the expression for the 360th power of the function f(x).

I managed to solve for the 4th power etc but i was not able to find a general formula so i am unable to deduce such an high power.

Can anyone help me? :smile:

[Galileo]

What is exactly the idea of this exercise?
It probably not asking for:
f(x)^{360}=\frac{1}{(1-x)^{360}}

If you want to expand the denominator, use the binomial theorem.