weakness vs powerlessness

weakness and powerlessness both are nouns.

Word	Noun	Adjective	Verb	Adverb
weakness	Yes	No	No	No
powerlessness	Yes	No	No	No

As nouns, powerlessness is a hypernym of weakness; that is, powerlessness is a word with a broader meaning than weakness:

weakness: powerlessness revealed by an inability to act
powerlessness: the quality of lacking strength or power; being weak and feeble

Other hypernyms of weakness include impotence, impotency.

weakness (noun)	powerlessness (noun)
the property of lacking physical or mental strength; liability to failure under pressure or stress or strain	the quality of lacking strength or power; being weak and feeble
powerlessness revealed by an inability to act
a penchant for something even though it might not be good for you
a flaw or weak point
the condition of being financially weak