Here take, away, and from are three distinct words, not the compound word "take-away" nor the idiom "take away from", which is probably the source of your confusion. Take - to grasp or hold Away - from this place to another From - indication of source or origin (the experience in your example) Essentially, the question is asking what did you learn or experience that you will use or carry with you afterward. Of course, that is without my knowledge of what "this experience" is referring to.
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