If you remove the second "without" you lose the negativity in the second part of the sentence so the repetition is important for the meaning. You could remove it and maintain the negativity by using "or" instead of "and":
"using power without restriction or considering other people".
What would make your example less ambiguous (and therefore you could drop the second "without") is if you changed the gerund "considering" to create parallel structure.
"Using power without restriction and consideration for other people..." would be much clearer to the reader, in which case you could certainly drop the second "without."
The problem with using two different noun forms AND dropping the second "without" is that the reader may interpret it as a compound subject instead of a compound prepositional object. Therefore, you should change "considering" to "consideration" for clarity, and then drop the second "without."