By "power", I assume you mean ball speed. That is not usually referred to as "power", in bowling terms, but it can often result in added pin fall, when compared to slower ball speeds.
If you have more ball speed than revs, then lower pin positions are usually recommended.
If you're using the right ball on an oil pattern for your ballspeed/revrate ratio, the high pin will go longer and possibly not hook enough on the backend to hit the pocket flush. The lower pin COULD get into the proper roll early enough to hit the pocket flush. On house shots (which are usually considered easy walls, you could make minor adjustments with your feet and target and hit the pocket well. On harder oil patterns, like sport shots or PBA shots, having the right drill on the right ball COULD be essential.
If the above is not what you meant by "power", plesae explain further.
--------------------
"...for advice is a dangerous gift, even from the wise to the wise...."
J. R. R. Tolkien