Simplify the following. Show work on paper and attach as file upload.(10 points)

Question

(3ab2)^−2

Answer 1

To simplify (3ab^2)^-2, we need to first square everything inside the parentheses and then take the reciprocal of the result.

(3ab^2)^-2 = 1/(3ab^2)^2
= 1/(3^2 * a^2 * (b^2)^2)
= 1/(9a^2b^4)
= 1/9a^2b^4

Therefore, the simplified expression is 1/9a^2b^4.