When The Tattooed Strongman confronted the Batman, it looked like there was no stopping him. A powerful blow to the face barely fazed him. Unbeknownst, Batman had slid a bomb in the Tattooed Strongman's belt. He pushed him down a manhole, and The Tattooed Strongman promptly blew up.
In Other Media
He's the second boss in the Super Nintendo video game adaptation of Batman Returns. Near the end of the second level, he was seen in the sidewalk, reading a newspaper and tapping his foot. After Batman defeats all the enemies in the level, the strongman rips the paper and starts fighting Batman.
Behind the scenes
In the aftermath of The Tattooed Strongman's explosion, fire and smoke can be seen confirming how deadly the bomb was.