Superscript is especially common in scientific formulas and mathematical expressions. E=mc^2, where '2' is in superscript.
Superscript isn't used for emphasizing text; that's what bold or italics are for.
Do not write 'very' as 'very', use bold or italics instead.
Use superscript for ordinal indicators in dates and numbers in non-technical writing. She was born on January 1^st^ and he on the 2^nd^.