Disappointed this didn't go on for pages unlike twitter... GD is immune to these by now
So, this isn't someones homework.
Are you serious? It's totally my homework!
All the people peddling "BODMAS" or the like (as an authoritative answer to this) can now hopefully stop doing so in future. As said, it's unsolvable.
No it isn't unsolvable. It is certainly designed to confuse, thus why it generates so many replies on twitter/social media etc... but it isn't unsolvable - there are two possible solutions available 16 and 1 which simply depend on conventions used.
Now if you have no other information/context about convention used then the sensible answer would be 16... that is just using "BODMAS" or whatever equivalent you want to cite, essentially the basic rules relating to the order of operations that pretty much everyone learns at school. The problem with a lot of the twitter argument is that people are misapplying this and seem to think the B in BODMAS or P in PEDMAS etc.. refers not just to the content of the brackets but the 2 adjacent to them too, this is obviously flawed as it would put this above exponents and generate some obvious contradictions. There is nothing in that order of operations they learned at school that allows for the answer of 1. So ostensible the vast majority of the population ought to be answering 16 if they were truly just using the basic convention/order of operations they'd been taught at school.
However there can of course be a convention used whereby implicit multiplication from the placement of the 2 immediately adjacent to the bracket takes a higher precedence over regular explicit multiplication or division, ergo the answer would then be 1. Thus the argument/confusion.
The thing is though that if you were to adopt a convention like that, then it would usually need to be specified in the paper/journal/book etc... and that isn't likely to be a thing these days as generally "maths stuff" can be written properly in LaTeX and doesn't need to be in a single line and use the "÷" or "/" operators. There were previously rather obvious useful reasons for adopting this convention if that was required.
Slightly different conventions with regards to the order of operations is however an issue for calculator manufacturers, programming languages etc... generally they don't seem to have added this additional convention and so you'll tend to see the answer 16 from the likes of google calculator and Wolfram alpha.
I'd therefore go with that, 16 doesn't require additional assumptions whereas 1 could be a legit answer
if some additional context meant there was a convention of giving higher precedence to implied multiplication, without that then there is a reasonable argument that yes it is confusing but unless something is specified to give that higher priority then 16 is the solution.