"exercise my knowledge" is correct and usable in written English.
You can use it when you are talking about using or applying your knowledge or understanding. For example: "I wanted to exercise my knowledge of physics to help find a solution to the problem."
In hearing the Chaconne in my mind, I am exercising my knowledge of how the piece goes; I am, in a certain way, realizing what I would be hearing if it were really being played, in the same way that the forger, in forging a cheque, is realizing how it would be signed if the cheque were genuine.
She will be able to exercise her knowledge of the German repertory from the Romantic to well into the 20th century.
"I had learned what I needed to learn and felt the time had come for me to exercise that knowledge in a larger world," he said.
They just no longer have the ability to exercise their knowledge.
Nonetheless, instructors still need questions to help their students exercise their knowledge.
If you are unable to volunteer at all, try to exercise your knowledge by keeping current in your field.
Once you have determined your career direction, the best way to exercise your knowledge, learn new skills, and simultaneously fill that resume hole is to volunteer.
Extensions of this practice to learning domains that not only exercise procedural knowledge but also conceptual knowledge are discussed within the field of cognitive task analysis (Clark et al., 2008), which retains the principle of modeling expert performance.
So little of this is evident in how we expect students to exercise their knowledge.
Clinicians, employers and workers need to exercise judgement, knowledge and expertise when deciding whether to apply any guidelines, taking into account individual circumstances and patients' wishes.
