Egghead has realized that crime-fighting would be an expensive endeavor, so Batman would have to be a millionaire. Peter Savage, Bruce Wayne and Tim Tyler are all millionaires and are all athletically inclined. Egghead has managed to gather information that places one of his captives above the others. Peter Savage has a French accent, Batman does not. Tim Tyler is left-handed, Batman is not. That leaves Bruce Wayne, who is going to be subjected to Egghead's Electro Thought Transfer machine.
This machine will empty the contents of Bruce Wayne's brain into Egghead's brain, leaving Bruce "an empty-headed fop". Bruce is held to the chair by an electro-magnetic force. Egghead turns on the machine and it begins to power up and suck Bruce's brain.
After freeing the others, Bruce leads them in the escape. In order to not disturb the bomb, they jump up and grab a hold of the piping along the ceiling. They move hand-over-hand and drop to safety. Bruce and Dick tell the others to leave the room while they detonate the bomb so there is no possibility that a citizen will find and disturb the bomb later on. Bruce and Dick crouch behind a table and Bruce uses a grape like a marble and hits the egg, setting it off.
Bruce later tells Dick Egghed's machine was working but years of conditioning allowed him to block that portion of his brain which deals with dual identity. He admits he could not have managed to protect himself from the machine much longer.