(-3bc^3d)^2 ((1/27b^2) cd)
First, we simplify the expression (-3bc^3d)^2:(-3bc^3d)^2 = 9b^2c^6d^2
Next, we simplify the expression (1/27b^2) cd:(1/27b^2) cd = cd / 27b^2
Finally, we multiply these two simplified expressions together:(9b^2c^6d^2) * (cd / 27b^2) = 9c^7d^3 / 27 = c^7d^3 / 3
Therefore, the final answer is c^7d^3 / 3.
(-3bc^3d)^2 ((1/27b^2) cd)
First, we simplify the expression (-3bc^3d)^2:
(-3bc^3d)^2 = 9b^2c^6d^2
Next, we simplify the expression (1/27b^2) cd:
(1/27b^2) cd = cd / 27b^2
Finally, we multiply these two simplified expressions together:
(9b^2c^6d^2) * (cd / 27b^2) = 9c^7d^3 / 27 = c^7d^3 / 3
Therefore, the final answer is c^7d^3 / 3.