To simplify the expression (x^2)⁵ / (x^2) (x^6), we can apply the laws of exponents.
When dividing exponential expressions with the same base, we subtract the exponents. Therefore, we have:
(x^2)⁵ / (x^2) (x^6) = x^(2*5 - 2 - 6) = x^(-1)
To evaluate this expression for x = -3, we substitute -3 in place of x:
(-3)^(-1) = 1/(-3) = -1/3
Therefore, the simplified expression (x^2)⁵ / (x^2) (x^6) evaluated for x = -3 is -1/3.