show vs exhibit

show and exhibit both are nouns.

Word	Noun	Adjective	Verb	Adverb
show	Yes	No	Yes	No
exhibit	Yes	No	Yes	No

As nouns, exhibit is a hyponym of show; that is, exhibit is a word with a more specific, narrower meaning than show:

show: an act or social event involving a public performance or entertainment
exhibit: something shown to the public

As verbs, exhibit is a hyponym of show; that is, exhibit is a word with a more specific, narrower meaning than show:

As verbs, show and exhibit are synonyms defined as:

Other synonyms of show include demo, demonstrate, present.

show (noun)	exhibit (noun)
an act or social event involving a public performance or entertainment	something shown to the public
pretending that something is the case in order to make a good impression	an object or statement produced before a court of law and referred to while giving evidence
something intended to communicate a particular impression

show (verb)	exhibit (verb)
establish the validity of something, as by an example, explanation or experiment	walk ostentatiously
provide evidence for	give an exhibition of to an interested audience
indicate a place, direction, person, or thing; either spatially or figuratively	to show, make visible or apparent
give expression to	show an attribute, property, knowledge, or skill
give evidence of, as of records
indicate a certain reading; of gauges and instruments
finish third or better in a horse or dog race
show in, or as in, a picture
take (someone) to their seats, as in theaters or auditoriums
make visible or noticeable
be or become visible or noticeable
give an exhibition of to an interested audience