Not only that: the power itself depends on other people believing in it.
If literally nobody in the company believes you to be the CEO, then you are no more powerful than anyone else. Similarly, even if you're not the CEO, but everyone believes you are, you have all the power of being one.
This means if you want to stay powerful, you have to exercise your power to remind people that you have it, thus reinforce their belief in it, and retain it so you can exercise it again to remind people and so on.
Of course, I would argue there are better ways to gain and display power.
If literally nobody in the company believes you to be the CEO, then you are no more powerful than anyone else. Similarly, even if you're not the CEO, but everyone believes you are, you have all the power of being one.
This means if you want to stay powerful, you have to exercise your power to remind people that you have it, thus reinforce their belief in it, and retain it so you can exercise it again to remind people and so on.
Of course, I would argue there are better ways to gain and display power.