Obviously you will have to wait for the power bar to regenerate itself. Now you will have to reach the gap to your left (screen). As you've probably noticed, you will have to crouch there in order to avoid the final laser beam. Nevertheless, you should be able to make it before the power bar is depleted. Once again, don't forget to save your game!
The final part of this challenge is going to be easier. You will have to wait for two of the nearby lasers to be positioned near the ground. It's very important, because only then you'll be able to avoid them. Perform two jumps and exit this corridor. There's a single enemy soldier here. Kill him right away and proceed towards your goal area.
Your main objective here will be to enter a nearby room. Find a knob and use it in order to disable the security system. Be careful, though. One of the enemy soldiers will arrive here. It would be a good idea to attack him with a little help from your suit. Thankfully, he doesn't have any backup. You'll also receive new orders. Familiarize yourself with them.
New mission objective: Access prison through boiler room ventilation system
You will have to go back to the corridor with the disabled lasers. One of the side rooms will allow you to reach a new area of the map. It's to your right. Enter this room. Look at the screen, because that's where you'll have to make a stop. Activate a time stop function here. This will allow you to jump over to the machinery. Climb up a little and enter a ventilation shaft.
There's only one road leading to your current destination, so you can't get lost. You will come across a trap which is a part of the ventilation system (screen). As you've probably suspected, you will have to stop the flow of time here. Wait for the mechanism to assume horizontal position. This will allow you to move forward. You can take a look inside the cells, however it's not necessary. Instead, go right and deal with the second trap.
You should be able to reach the exit very soon. It's going to be an opened cell (screen). Exit the shaft and hide near the beds. You'll also receive some new orders. Start off by killing a few enemy soldiers. Obviously you should be using a slow-motion feature in order to make this a lot easier. You can also hide behind one of the walls and wait for them to show up.
New mission objective: Escape from holding cells