Resolution’s extremely decisive conclusion (13)
I believe the answer is:
determination
'resolution's' is the definition.
(determination is a kind of resolution)
'extremely decisive conclusion' is the wordplay.
'extremely decisive' becomes 'de' (I can't explain this - if you can you should give a lot more credence to this answer).
'conclusion' becomes 'termination' (synonyms).
'de'+'termination'='DETERMINATION'
Can you help me to learn more?
(Other definitions for determination that I've seen before include "Resolution" , "Decision; grit" , "legal decision" , "Perseverance" , "24 [DRIVE]" .)