How to deal with a power tripper boss!

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My boss is younger than me and I think she's just too blinded with the opportunity. She's not had any supervisor experience as she told us and she was so overwhelmed with the position given to her at a young age. To our dismay, her approach is out of the norms. She would usually reprimand without proper decorum in front of other people. Its very unprofessional. I tend to talk back at her because her actions are actually inappropriate. How can I deal with this kind of leader? Help!