In a quadratic function, the value of the product of the roots $(\alpha, \beta)$ is $4$. Find the value of

$\frac{\alpha^{n}+\beta^{n}}{\alpha^{-n}+\beta^{-n}}$

1. $n^{4}$
2. $4^{n}$
3. $2^{2n-1}$
4. $4^{n-1}$

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