Simplify each expression so that no negative exponents appear in the final result.

Assume that all variables represent nonzero real numbers.

1. (12k^-2(k^-3)^-4)/(6k^5)

2. (3rs^-2)/(3^2r^2s^-4)

1 answer

(12k^-2 (k^-3)^-4)/(6k^5)
= (12k^-2 * k^12)/(6k^5)
= (12k^10)/(6k^5)
= 12/6 * k^10/k^5
= 2k^5

What do you get for the other one?