world power vs body politic

world power and body politic both are nouns.

Word	Noun	Adjective	Verb	Adverb
world power	Yes	No	No	No
body politic	Yes	No	No	No

As nouns, body politic is a hypernym of world power; that is, body politic is a word with a broader meaning than world power:

world power: a state powerful enough to influence events throughout the world
body politic: a politically organized body of people under a single government

Other hypernyms of world power include commonwealth, country, land, nation, res publica, state.

world power (noun)	body politic (noun)
a state powerful enough to influence events throughout the world	a politically organized body of people under a single government