Continuity mistake: When Palpatine and his rescuers are in the descending elevator, a wide shot shows the trooper with the rocket launcher standing at the far left of the shot, in front of the hammer-headed Jedi. The shot then tightens in and suddenly this trooper is behind Palpatine, who is behind that Jedi.
Continuity mistake: When Palpatine and the others exit the elevator, a rear shot of their group shows that one trooper holds his rifle, but the other is missing his rocket launcher. But when seen from the front again, this trooper has the very obvious launcher hanging from his shoulder, behind him.
Continuity mistake: When Palpatine and his rescuers emerge from the elevator, the characters' positions in relation to each other changes radically despite nobody moving. First shot, the line up, left to right, is Hammer Head, Trooper, female Jedi, Palpatine, Trooper and four-eyes (the 3 Jedi are in the front row, the rest behind). In the next shot, the order is now (right to left, from behind) Hammer Head, female Jedi, Trooper, Palpatine, Trooper and four-eyes (Palpatine now in the front row). Next, a tighter shot has Hammer Head moved to the back row, behind a trooper. Meanwhile, the two troopers keep switching sides, as the rifle is seen at left or at right, while the rocket launcher is not seen at all until the troopers are suddenly together at the left of the screen when Hammer Head yells.
Continuity mistake: When Shaak Ti, Ronet Corobb, and Foul Moudama try to get Palpatine to safety, there are two Clone Troopers with them. As they stand waiting for the elevator, both Troopers are armed with blaster rifles, but as they walk into the elevator, one of them suddenly has a rocket launcher instead of a rifle.