[dayglored]

I answered your question above BEFORE reading the PopMech link you sent, so I see now that I duplicated some of the information in that article. Sorry for being long-winded. :-)

[dayglored]

And for the sake of completion, in my order-of-ops list I neglected one other thing, which is that along with fraction numerator and denominator being considered implicitly parenthesized, so are the things superscripted in an exponent. So for example:
  e^2x
The '2' and the 'x' get multiplied together before 'e' is raised to that power.

To make that clear in a single-line expression without superscripts, one would have to write:
  e^(2x)