Relebohile Mofokeng opened the scoring at the Orlando Amstel Arena after 15 minutes.
Oswin Appollis added a second a minute before the half-hour mark and Ayabulela Maxwele turned the ball into his own net after 36 minutes for Bucs' third goal.
Mofokeng bagged his second of the night on the hour mark and Appollis completed the rout with his second goal on the 90-minute mark.
It was another resounding display from Abdeslaam Ouaddou's side after their 6-0 drubbing of TS Galaxy.
The result left the club on 54 points from 23 games, in second place, two points behind league leaders Mamelodi Sundowns.
Arrows are down in eighth place with 28 points from 23 games.
“It was just a bad day at the office today, from the beginning we didn't look the way how I expected, we tried to keep possession, but too indecisive in the final third,” Mngqithi said on IOL.
"We had chances with Maxwele and Sibiya – early on but he decided to pass – Pirates ran stronger than us and were powerful off the ball, they worked very hard and credit must be given to their technical team.
"They made our life difficult and exposed our frailties.
"We weren't hungry enough, they showed they deserved it but it's and that it was five, because on the fourth goal there was a foul on Mabaso on the touchline. I also think there was a strong penalty shout on Cisse, but we also fluffed chances with Gasa and Sithole.
"It was few and far between [our chances] but the team who deserved to win, won the game."
