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Verified Answer :

when you divide exponents, you subtract the exponents. c^2-4=c^-2
or 1/c^2
hope this helps.

\(\frac{c^2}{c^4} \\ \\ c^{2-4} \ / \ quotient \ rule \\ \\ c^{-2} \ / \ simplify \\ \\ \frac{1}{c^2} \ / \ negative \ power \ rule \\ \\\)

Your final result is 1/c².