Question - Simplification of Algebraic Expression with Exponents

Solution:

\(\frac{x^7 x^{-n}}{x^5 x^{-2n}} = \frac{x^{7-n}}{x^{5-2n}}\)

\(= x^{(7-n)-(5-2n)}\)

\(= x^{7-n-5+2n}\)

\(= x^{2+n}\)

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