Anything you do in a smart, insightful way is done intelligently. If you speak intelligently during your interview, you're sure to get the job!
The adverb intelligently means "done with intelligence." The Latin root is intelligere, "to understand or comprehend." An intelligently designed house is planned and built with thought given to who will live there and what they need in a home. Wording your letter to the editor intelligently means it's well thought out and cleverly phrased. Use your smarts, and you'll always act intelligently.