simplify (2cd^3)^2(4c^3d^2)

To simplify the expression, we can apply the power of a product rule, which states that the square of a product is equal to the square of each factor.

(2cd^3)^2 = (2^2)(c^2)(d^6) = 4c^2d^6

Therefore, the simplified expression becomes:

4c^2d^6 * 4c^3d^2 = 16c^5d^8