I agree completely. Mathematical notation is the written language of maths, so resolving the ambiguity is a language problem, not a mathematical problem.

The division and multiplication symbols are rarely seen in higher mathematics where we tend to use 'algebraic notation', as opposed to 'number sentences' as my teacher wife would call them. This ambiguity arises most often when the two notational forms are used together, either deliberately to provoke discussion on social media, or because it's easier to type inline.

In 'algebraic notation' we treat terms like 'ab' and '6x' as single terms that have already been operated on, so they stay intact. Division is generally represented with a division bar (fraction form) and the grouping of terms above and below the bar makes the order of operations clear. If you choose to use a slash (/) in place of a division bar so it can be typed, then you should add parentheses to indicate the grouping that would have been visually apparent when written with a bar.