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What would happen if you wrote E=mc^2 in your text *without* the dollar signs $..$?
E=mc^2
$..$
It would print "E=mc^2" as plain text, and the "2" would not be a superscript.
It would be typeset on its own line.
It would cause an error because of the ^ character.
^
It would still be typeset as math because LaTeX is smart.
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