Is there a way to simplify $(x+y)^z$ using only basic functions?

Question

So no Big-O notation, Re(), derivatives, only stuff you could find a scientific calculator.

Answer 1

If $z$ is a positive whole number, $$(x+y)^z=\sum_{n=0}^{z}{z\choose n}x^{z-n}y^n$$ Where $${z\choose n}=\frac{z!}{n!(z-n)!}$$ If $z$ is not a positive whole number, the formula is a little more complicated. So to answer your question; not really.