Find a power series representation for the function.

$f(x)=\frac{1}{164x^2}$

a$.\frac{1}{16}{\displaystyle \underset{n=0}{\overset{}{}}}(\frac{1}{4}{)}^n{x}^{2n}$

b$.{\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{4^{n2}}{x}^{2n}$

c$.\frac{1}{16}{\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{4^{n2}}{x}^{2n}$

d$.\frac{1}{16}{\displaystyle \underset{n=0}{\overset{}{}}}(\frac{1}{4}{)}^n{x}^n$

e$.\frac{1}{16}{\displaystyle \underset{n=0}{\overset{}{}}}(-\frac{1}{4}{)}^n{x}^n$