Series Representation of Power Function

In this paper described numerical expansion of natural-valued power function x^n, in point x = x₀ where n, x₀ - natural numbers. Apply- ing numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached. Received results were compared with solutions according to Newton’s Binomial theorem and MacMillan Double Bi- nomial sum. Additionally, in section 4 exponential function’s e^x representation is shown.