Powell, Chanderpaul put Windies on top
The tourists reached 361-4 at the close on the opening day with Chanderpaul unbeaten on 123 alongside Denesh Ramdin (52 batting), having completed his 26th Test century.
Powell was earlier out for 117 after Bangladesh had West Indies in a spot of trouble with three wickets in the morning session.
The left-hander, making his second century, added 125 runs with Chanderpaul for the fourth wicket as the duo batted out the second session to restore order for West Indies, who elected to bat.
Powell completed his century sweeping left-arm spinner Shakib Al Hasan to the fine-leg boundary to go to the break unbeaten on 115.
The 22-year old, however, could add only two runs to his score on the resumption after tea before he missed the line of a Gazi delivery and was clean bowled.
His 178-ball innings contained 18 fours and a six.