Algebraic HP calculators, hierarchy of operations.

[Vtile]

Hello! For resent topic of mine I actually found new thing to me that the hierarchy of operations is so much depated subject. What is the hierarchy of operation in HP algebraic (or RPN+ALG). Is it PEMDAS or PEJMDAS or do not allow at all.

Test expression used and PEMDAS/PEJMDAS as seen on video. (Note that video is somewhat opinionated for PEJMDAS, but informative.)
https://youtu.be/4x-BcYCiKCk

Video do use expression:

\begin{equation}
\frac{1}{2\sqrt{3}}
\end{equation}
Typed in as key sequence: [1] [/] [2] [Sqrt] [3] [=]

Ie. HP50g do give invalid syntax when the algebraic expression shown in video is entered as algebraic expression (as is written on video without user added parenthesis or operators) through the stack (which is actually nice), with EQW it is giving the correct formatting and added parentheses at right position (as is logical).

I do not want to start flame war here, there seems to be two interpretations differing for variety of reasons.

Edit. Added LaTeX for test equation.