exponent
/ĭk-spō′nənt, ĕk′spō″nənt/
noun
- One that expounds or interprets.
- One that speaks for, represents, or advocates. Our senator is an exponent of free trade.
- (Mathematics) A number or symbol, as 3 in (x + y)3, placed to the right of and above another number, symbol, or expression, denoting the power to which that number, symbol, or expression is to be raised.
For natural a, we define ba as ∏(b) a times, but for any real a and positive real b, we define ba = exp(a*ln(b)). Answer from Deleted User on reddit.com
Merriam-Webster
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Definition of EXPONENT
The meaning of EXPONENT is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power. How to use exponent in a sentence. Did you know?
Dictionary.com
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EXPONENT Definition & Meaning | Dictionary.com
A number or symbol, placed above and to the right of the expression to which it applies, that indicates the number of times the expression is used as a factor. For example, the exponent 3 in 5 3 indicates 5 × 5 × 5; the exponent x in (a + b) x indicates (a + b) multiplied by itself x times.
What is an Exponent?
Exponent is the method of expressing large numbers in terms of powers. For example, 5 multiplied 3 times, i.e. 5 × 5 × 5 can be expressed as 5^3, where 3 is the exponent of 5.
byjus.com
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Exponent Meaning
What is the importance of exponent?
Exponents are important to write the values of numbers in simplified form. Repeated multiplication can be simply written with the help of exponents.
splashlearn.com
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What is Exponent? Definition, Properties, Examples, Facts
What is 2 with an exponent of 4?
2 with an exponent of 4 can be written as 2^4 and its value is 2 × 2 × 2 × 2 = 16.
byjus.com
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Exponent Meaning
Cambridge Dictionary
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EXPONENT | definition in the Cambridge English Dictionary
The parameterp is the exponent in the non-saturated regime, whiles is the exponent for the situation where saturation is present. ... The particular choice of exponents changes the response characteristics but is proven to keep the system stable.
Videos
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Math Definitions : What Is an Exponent? - YouTube
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Exponents 1-definition, meaning and evaluating - YouTube
Intro to exponents (video)
BYJUS
byjus.com › maths › exponent
Exponent Meaning
As defined above, the exponent defines the number of times a number is multiplied by itself. The power is an expression that shows repeated multiplication of the same number or factor.
Published November 3, 2021 Views 17K
Mathnasium
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What Is an Exponent in Math? A Kid-Friendly Definition
An exponent is a small number written above and to the right of another number (the base).
SplashLearn
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What is Exponent? Definition, Properties, Examples, Facts
March 15, 2024 - In short, power or exponent indicates the number of times a number needs to be multiplied by itself. Here, the base can be any integer, fraction or decimal.
Wikipedia
en.wikipedia.org › wiki › Exponentiation
Exponentiation - Wikipedia
1 month ago - The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so 35 can be simply read "3 to the 5th", or "3 to the 5". The exponentiation operation with integer exponents may be defined directly from elementary arithmetic operations. The definition of the exponentiation as an iterated multiplication can be formalized by using induction, and this definition can be used as soon as one has an associative multiplication:
EtymologyHistoryTerminologyInteger exponentsRational exponentsReal exponentsComplex exponents with a positive real baseNon-integer exponents with a complex baseIrrationality and transcendenceInteger powers in algebraPowers of setsRepeated exponentiationLimits of powersEfficient computation with integer exponentsIterated functionsIn programming languages
Reddit
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r/learnmath on Reddit: What is the definition of an exponent?
June 28, 2022 -
Hello everyone! I was wondering what the formal definition of an exponent is. I’ve made it through calc 2 and up until now the only detention I’ve received is either an is a multiplied by itself n times or given am/n would be the nth root of am, for example sqrt(a) is a1/2. However I was wondering if there is a more formal definition. For example, 2pi can be computed, but wouldn’t work with the above definitions, as you can’t multiply 2 pi times and pi is an irrational number.
Any insight on this would be much appreciated!
Top answer 1 of 4
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For natural a, we define ba as ∏(b) a times, but for any real a and positive real b, we define ba = exp(a*ln(b)).
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As other commenters have made clear, there are several different answers to this question. No matter which approach you choose, there are theorems that need to be proved in order for the definition to be coherent. For example, if you take u/Crafty_Potatoes 's definition, you have to prove that this definition of exponentiation preserves the properties we like, for example, aman = am+n. This kind of thing will be true of any definition you adopt. Similarly, you should definitely believe u/thecooIestperson about the definition of exp, but again, you will want to prove that, essentially, exp(x) = er for r rational and e is a single well-defined constant. If you adopt u/bluesam3 's definition, your soul will be unsatisfied unless you prove that it implies u/thecooIestperson 's series identity. Vice versa, too. Even u/ConservatoryCanine 's definition incurs a theoretical debt: to prove that the exponential identities are true, and that the definition is coherent (as they acknowledge in their comment).
Math is Fun
mathsisfun.com › definitions › exponent.html
Exponent Definition (Illustrated Mathematics Dictionary)
Illustrated definition of Exponent: The exponent of a number says how many times to use that number in a multiplication. It is written as a small...
Vocabulary.com
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Exponent - Definition, Meaning & Synonyms | Vocabulary.com
You may already know the mathematical meaning of exponent: a numeric notation showing how many times a number is multiplied by itself. How did exponent come to mean a strong advocate or promoter of something?
University of Minnesota
mclph.umn.edu › mathrefresh › exponents.html
What is an Exponent?
SECTION 3. WHAT IS AN EXPONENT · An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means:
Cuemath
cuemath.com › algebra › exponents
Exponents - Definition, Examples | Properties of Exponents
Exponent is the way in which large numbers are expressed in terms of powers. For example, 4 multiplied 3 times by itself can be expressed as 4 × 4 × 4 = 43, where 3 is the exponent of 4. Observe the following figure to see how we express the exponent of a number.
Oxford Learner's Dictionaries
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exponent noun - Definition, pictures, pronunciation and usage notes | Oxford Advanced Learner's Dictionary at OxfordLearnersDictionaries.com
(as an adjective in the sense ‘expounding’): from Latin exponent- ‘putting out’, from the verb exponere ‘expose, publish, explain’, from ex- ‘out’ + ponere ‘put’.See exponent in the Oxford Advanced American DictionarySee exponent in the Oxford Learner's Dictionary of Academic English
Collins Dictionary
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EXPONENT definition in American English | Collins English Dictionary
These examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of Collins, or its parent company HarperCollins. We welcome feedback: report an example sentence to the Collins team. Read more… Common-good exponents argue that public officials should be guided by considerations of goodness and fairness that most all of us recognize in personal conduct.
Columbia University
columbia.edu › itc › sipa › math › exponents.html
Exponents
An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means ...
A Maths Dictionary for Kids
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exponent ~ A Maths Dictionary for Kids Quick Reference by Jenny Eather
Quick Reference from A Maths Dictionary for Kids - over 600 common math terms explained in simple language. Math glossary - definitions with examples. © Jenny Eather 2014.
Encyclopedia Britannica
britannica.com › dictionary › exponent
Exponent Definition & Meaning | Britannica Dictionary
EXPONENT meaning: 1 : someone who supports a particular cause, belief, etc.; 2 : someone who is known for a particular method, style, etc.
Mathnasium
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What Is an Exponent? A Complete, Beginner-Friendly Guide
December 4, 2025 - So when scientists study things that grow quickly, like germs, populations, or even money in a bank account, they often use exponents to describe that growth clearly and efficiently. In all these situations, exponents help us describe repeated multiplication without having to write every step. Let’s take a closer look at how to read exponents and what they really mean. When you see something like 4², what exactly are we multiplying? Going back to our definition, we can see that the exponent (²) tells us how many times we’re multiplying the number (4) by itself.