How do I get out of the prison?

Hint 1 of 5:

There are two ways out of here.  Both are through the glowing red gates.

Hint 2 of 5:

You can turn them off with the red switches.

Hint 3 of 5:

The first way is the more direct one -- through the exit closer to the top of
the screen.  Just fight your way past the three guards in that room.

Hint 4 of 5:

You can then open the doors out of the complex by hitting the switch with a
ball.  You'll have to face a few more guards on your way out.