One must keep in mind that wrist wraps will provide little or no benefit when you perform exercises that involve pulling a weight towards yourself, or exercises that do not require a straight wrist (such as lateral pull-downs and curls, respectively). To benefit from your wrist wraps, try exercises like:
Bench press
Dumbbell rows
Deadlifts
Rack pulls

Exercises like the bench press force the wrists to bear a lot of weight, and wrist wraps will support the wrists and reduce strain.