AFAIK and IIRC, parentheses are not the equivalent of a multiplication
symbol.  It is simply mathematical conventiont to omit the
multiplication symbol between two variables, between a constant and a
variable, and between a constant or variable and an operator such as (
or Σ.

Note that your first two examples are resolved if you stop using
parentheses where they are unnecessary.

The fundamental issue here is the ambiguity caused by a lack of
superscript. I've attached an example of what I'm talking about.

** Attachment added: "math.docx"
   
https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+attachment/4755032/+files/math.docx

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https://bugs.launchpad.net/bugs/1161670

Title:
  Order of operations is incorrect for exponents and parentheses

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