ex·po·nen·tial

[ek-spoh-nen-shuhl, -spuh-]
adjective
1.
of or pertaining to an exponent or exponents.
2.
Mathematics.
a.
of or pertaining to the constant e.
b.
(of an equation) having one or more unknown variables in one or more exponents.
noun
3.
Mathematics.
a.
the constant e raised to the power equal to a given expression, as e 3 x, which is the exponential of 3 x.
b.
any positive constant raised to a power.

Origin:
1695–1705; exponent + -ial

ex·po·nen·tial·ly, adverb
non·ex·po·nen·tial, adjective
non·ex·po·nen·tial·ly, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
Cite This Source Link To Exponentially
Collins
World English Dictionary
exponential (ˌɛkspəʊˈnɛnʃəl) [Click for IPA pronunciation guide]
 
adj
1.  maths (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex
2.  maths exp raised to the power of e, the base of natural logarithms
3.  of or involving an exponent or exponents
4.  informal very rapid
 
n
5.  maths an exponential function, etc
 
expo'nentially
 
adv

00:10
Exponentially is always a great word to know.
So is quincunx. Does it mean:
an arrangement of five objects, as trees, in a square or rectangle, one at each corner and one in the middle.
a gadget; dingus; thingumbob.
exponential (ˌɛkspəʊˈnɛnʃəl) [Click for IPA pronunciation guide]
 
adj
1.  maths (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex
2.  maths exp raised to the power of e, the base of natural logarithms
3.  of or involving an exponent or exponents
4.  informal very rapid
 
n
5.  maths an exponential function, etc
 
expo'nentially
 
adv

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Etymonline
Word Origin & History

exponential
1704, from exponent + -al (1). Related: Exponentially.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
exponential   (ěk'spə-něn'shəl)  Pronunciation Key 
Relating to a mathematical expression containing one or more exponents. ◇ Something is said to increase or decrease exponentially if its rate of change must be expressed using exponents. A graph of such a rate would appear not as a straight line, but as a curve that continually becomes steeper or shallower.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
Cite This Source
Example sentences
Completely deterministic dynamics could be chaotic, exponentially sensitive and
  unstable with respect to its current status.
Meanwhile, the wad's length shrinks in half every time, and thus decreases
  exponentially fast.
Imagine that the price of automobiles drops exponentially.
Any scientist who thinks he/she can increase food supply to feed an
  exponentially growing population is living a delusion.
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