Your question is wrong. Assuming your working for Unity, your question should be:
"How can we best serve our community of customers?"
And the strongest correct answer is DRAMATICALLY improve your documentation, manual and reference facilities. Thereby cutting down on much of the need for UnityAnswers to be a resource for methodology of using your software. Freeing it to be more theoretical and intriguing.
As it stands, both the forum and Answers are functioning as a stop gap for the appalling quality of your documentation, manual, tutorials and reference facilities.
Strong words? Yes. For one simple reason, you're asking me to pay $5000 for a full suite of your software. That's for me. Assuming I'm the head of my team, have a programmer, a modeler/animator, lighting/materials/design guy and a level designer working with me... things get much worse. They're all in need of fully licensed versions to do their work since you've built in constant license checking to your software and retarded the free version well below useful for semi-pro development.
That's 5 x $4.5k +$500 for Asset Server, or $23,000 of my hard earned money before we make anything.
And I'm reliant on your forum and Answers for just about anything beyond an outline of what your software does. But not only me, the entire team is reliant on these mechanisms for information about the different aspects of the program they'll be using. Which means they'll often be waiting and hoping for an answer rather than working.
You might think the search facilities are great, you might think having a community actively engaged in doing your work for you is great, but I can assure you it's an entirely different proposition when I'm looking at the bank account and time spent searching/reading fruitlessly, not to mention waiting for answers that may or may not be write (sic) +++ PLUS needing to take time on learning just right to express/frame a question in a manner that can lead to a fruitful answer.
For contrast, take a look at the documentation you get when buying a copy of 3ds Max. About the same money, and I'm sure you've got a few copies around the office. The first time I bought a full version of their software I considered their literature worth the asking price BEFORE I used the program commercially. It's THAT good. Arguably Autodesk 3ds Max tutorials are no better than yours, but their literature is in an ENTIRELY different league.
I'm just past two weeks into my 30 day trial. Just scratching the surface of what your tool can do. And having serious reservations about Unity because of the ever increasing difficulties faced in coming to terms with every nuance of the program. Unity has MANY unique approaches to aspects of design and implementation that your customers deserve significant introduction and explanations of. Let us into the thinking of the creators! PLEASE!!!!
It's VERY hard for me not to think it worth my time and energy to steer towards the other UT, because if we're going to spend this much time learning how to use something, it might as well be a full blown toolset... and I could always spend the spare $23k on faster computers, other production software, training and flights. And wine.
As to your question, how to encourage your forum users to use Answers more? I'd say you've got a perfect chance to develop skills in developing a manual, tutorial and resources to Autodesk standards in a microcosm. Check out how many threads there are on Answers asking about features in Answers??? That's from people already here!!! Think about it! And you're asking the question in here??? Baffling. Those still using the forums likely have the best answers to your question. I'd suggest asking over there...
But for those new to your world/software, you have a unique opportunity to answer your question with regards guiding them from their natural inclination to use the forum to Answers. Answers is a new platform, from what I can gather... made by someone else, for something else, and you've reshaped it in your interests.
sooo...
Provide knowledge of the features of Answers in a VERY clear, very thorough manner, with very good links, explanations of the methodology and REASONS for its structure, mechanisms and approach so people know WHAT it is, HOW it works, WHY it is the way it is... and then people will likely flock on over. If you put it where they can see it. Don't be tempted to think here is the right place. It should be front and center on your main website ::: "WE HAVE ANSWERS"... and then explain what it is, because at this stage we all know, ANYONE coming to your program/world is going to NEED Answers. Lots of them.
But most important. PAY the guys doing your work for you by answering all the questions. Money doesn't make the world go round. But it surely makes jets go round the world. There's guys in here that have resold your software over and over again because of the deficiencies in your companies belligerent approach to customer service and documentation. Treat them well or your best sales tools will take care of themselves when others find their energy.