There is a number of ways to accomplish this. I can name two straight off...
[ol][li]Use your science skill on the computer terminals near the doors.
[li]Use your lockpick skill on the terminals.[/ol]
It's your preference - whichever skill you are better at. You may be able to use an electronic lockpick on them too.
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"Sometimes I feel like a magic 8-ball. I just spout random saying and walk away."
Saboteur is a bit off here, but just for a bit.
You can just click on them, and if one of the skills needed to open them is high eneugh - they open. Might take many tries though, but no worry - they can't be jammed. So just try 20-30 times on one terminal, if not open, raise sci skill/lockpick skill.
Lord of Acid is a bit off there I'm sure that works too but you can just open them in sequence...go to each one and it will either say invalid sequence code, or it will open - do them in the right order and they will open.
You can use repair skill, too (which vic has, so you can get him to do it all). I prefer to snipe the caged slaves from outside the slave pens though, nice negative karma, and the slavers don't attack you...