The most common and most likely answer to this crossword clue is the 7 letter word COGENCY
C
O
G
E
N
C
Y
Buddy explains!
The straight part
We know that "power" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case power = cogency.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does COGENCY mean?
COGENCY noun- The state of being cogent; the characteristic or quality of being reasonable and persuasive.