Explanation:
The expression (2n^4)^-2 can be simplified as follows:
(2n^4)^-2 = 1 / (2n^4)^2
Using the rule that (a^b)^c = a^(bc), we can simplify further:
= 1 / (2^2 * n^4 * 2)
= 1 / (4 * n^4 * 2)
= 1 / (8 * n^4)
So (2n^4)^-2 = 1 / (8 * n^4) in simplified form using positive exponents.