You are having a mental struggle with the term "power."
Your interactions should give girls you come across ample time to contact you first. For example, you open a girl, have a chat, exchanges #s, chat some more, say bye. What do you do? Well of course you wait a couple days until the next 'event' happens. This gives a girl 1-2 days to contact you first; but after 2 days and nothing it'd be a mistake to wait any longer before initiating some sort of communication.
This has absolutely nothing to do with power. Some girls will feel the urge to contact you 15 minutes after you exchange #s. Some will wait a day, some would never imagine contacting you first. It all depends on factors surrounding the initial interaction (randomness of the first meeting, familiarity with each other, amount of attraction built, her judgments of you, etc.)
You are "exchanging" numbers and not just getting them, correct?
Finally, you're the man. Men lead. Men control. You should be controlling the interaction not her. Whoever is in control has more "power."
- No offense, but you might as well change the title of this post to "I just don't like being a man" (or a leader, or a masculine figure, etc.)