Identify the function as a power function, a polynomial function, neither, or both.
$$f(x)=\frac{x^6}{x^8+3}$$

Step 1 ：Identify the function as a power function, a polynomial function, neither, or both.

Step 2 ：The given function is $f(x)=\frac{x^6}{x^8+3}$

Step 3 ：This function is a rational function, which is a ratio of two polynomial functions.

Step 4 ：It is not a power function because a power function is of the form $f(x)=k{x}^n$, where k and n are constants.

Step 5 ：It is not a polynomial function because a polynomial function is a sum of terms of the form $k{x}^n$, where k and n are constants.

Step 6 ：Therefore, the function is neither a power function nor a polynomial function.

Step 7 ：Final Answer: $\boxed{{\displaystyle \text{The function }f(x)=\frac{x^6}{x^8+3}\text{ is neither a power function nor a polynomial function.}}}$