high-muck-a-muck vs pooh-bah

high-muck-a-muck and pooh-bah both are nouns.

Word	Noun	Adjective	Verb	Adverb
high-muck-a-muck	Yes	No	No	No
pooh-bah	Yes	No	No	No

As nouns, high-muck-a-muck and pooh-bah are synonyms defined as:

high-muck-a-muck and pooh-bah: an arrogant or conceited person of importance

high-muck-a-muck (noun)	pooh-bah (noun)
an arrogant or conceited person of importance	an arrogant or conceited person of importance