Alegbra hamburger

Algebra Level 3

If \(x^{2017}=2019\) , find the value of the below expression.

\[\frac{\left(\dfrac{x-x^2-x^3-x^4-\cdots-x^{2013}-x^{2014}-x^{2015}-x^{2016}}{x^{2016}+x^{2015}+x^{2014}+x^{2013}+\cdots+x^4+x^3+x^2-x}\right)^{-2020}}{\left(\dfrac{x-x^2+x^3-x^4+\cdots+x^{2013}-x^{2014}+x^{2015}-x^{2016}}{x^{2016}-x^{2015}+x^{2014}- x^{2013}+\cdots+x^4-x^3+x^2-x}\right)^{-2018}}\]

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