Definitions from Wiktionary (exponential)

▸ adjective:  Relating to an exponent.
▸ adjective:  (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
▸ adjective:  (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
▸ adjective:  (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
▸ noun:  (mathematics) Any function that has an exponent as an independent variable.
▸ Also see exponential

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