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Your order of precedence is not the one used in mathematics. Some programming languages and programs may have an unary minus that has a higher precedence than exponentiation, but that is not something a mathematician would do.Wikipedia: https://en.wikipedia.org/wiki/Order_of_operations#cite_note-2Wolfram Alpha: http://www.wolframalpha.com/input/?i=-2^2@gh0st: Now I understand that there is indeed a misconception about this.Edit: Link added.
this is what i explained in fewer lines
I did. Where is my cookie ?