^{31}This notation is quite common in scientific and engineering literature, as a way to avoid having to typeset fractions in
a text document. Instead of writing kJ _mol which requires a fraction bar, we may write kJ mol^{−1} which is mathematically
equivalent. Another common example of this notation is to express frequency in the unit of s^{−1} (per second)
rather than the unit of Hertz (Hz). Perhaps the most compelling reason to use negative exponents in unit
expressions, though, is sociological: scientific studies have shown the regular use of this unit notation makes you
appear 37.5% smarter than you actually are. Questioning statistical results of scientific studies, on the other
hand, reduces your apparent intelligence by over 63%! Now, aren’t you glad you took the time to read this
footnote?