Is y=1/4xto the power of .05a power function

Subject to conditions (see below), yes.

Step-by-step 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.

where is the graph, sweetheart?

step-by-step explanation: