reduce vs exchange

reduce is not a noun while exchange is a noun.

Word	Noun	Adjective	Verb	Adverb
reduce	No	No	Yes	No
exchange	Yes	No	Yes	No

As verbs, exchange is a hypernym of reduce; that is, exchange is a word with a broader meaning than reduce:

reduce: simplify the form of a mathematical equation of expression by substituting one term for another
exchange: put in the place of another; switch seemingly equivalent items

Other hypernyms of reduce include interchange, replace, substitute.

reduce (noun)	exchange (noun)
	reciprocal transfer of equivalent sums of money (especially the currencies of different countries)
	the act of putting one thing or person in the place of another:
	the act of changing one thing for another thing
	the act of giving something in return for something received
	(chess) the capture by both players (usually on consecutive moves) of pieces of equal value
	(chess) gaining (or losing) a rook in return for a knight or bishop
	(sports) an unbroken sequence of several successive strokes
	a workplace for buying and selling; open only to members
	a workplace that serves as a telecommunications facility where lines from telephones can be connected together to permit communication
	a mutual expression of views (especially an unpleasant one)
	chemical process in which one atom or ion or group changes places with another

reduce (verb)	exchange (verb)
take off weight	exchange or replace with another, usually of the same kind or category
cut down on; make a reduction in	change over, change around, as to a new order or sequence
narrow or limit	exchange a penalty for a less severe one
cook until very little liquid is left	give to, and receive from, one another
to remove oxygen from a compound, or cause to react with hydrogen or form a hydride, or to undergo an increase in the number of electrons	put in the place of another; switch seemingly equivalent items
make smaller	hand over one and receive another, approximately equivalent
reduce in size; reduce physically
make less complex
reduce in scope while retaining essential elements
lessen the strength or flavor of a solution or mixture
be cooked until very little liquid is left
be the essential element
destress and thus weaken a sound when pronouncing it
undergo meiosis
reposition (a broken bone after surgery) back to its normal site
lower in grade or rank or force somebody into an undignified situation
lessen and make more modest
simplify the form of a mathematical equation of expression by substituting one term for another
bring to humbler or weaker state or condition
put down by force or intimidation