exponential

1. (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.Examples: "In base-10 exponential form, 1,000,000 is written as 10⁶."; "If not otherwise specified, "the" exponential function is normally understood to mean eˣ."

2. (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.Examples: "There were two deaths on Monday, four on Tuesday, and eight on Wednesday. The rate of increase seems exponential."; "... Students apply the definition of slope to various representations of growth functions to discover differences between exponential and constant rate of growth."

3. (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.Examples: "Near-synonyms: extreme, huge"; "There's been an exponential rise in the number of crimes reported this year, compared to last year."; "If loans are not what you are looking for, then search for scholarships [...] I have been putting together scholarship letters for parents over the past decade, and there is an exponential amount of money to be had."broadly