Answer:
Subject to conditions (see below), yes.
Explanation:
The simplest power function looks like y = x^n, where n is the exponent. We often see power functions; they are integral parts of polynomial functions (such as y = x^3 + 3x^2 + x + 1).
IF you meant, "Is y = (1/4)x^0.05 a power function?" then the answer is "yes." It's important that you use parentheses around that fraction 1/4 for clarity.
y = (1/4)x^0.05 has a graph that is initially quite close to the horizontal line y = 1/4.