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Webster 1913 Edition
Exponent
Ex-po′nent
,Noun.
1.
(Alg.)
A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated
; thus a
2
denotes the second power, and ax
the xth power, of a (2 and x being the exponents). A fractional exponent, or index, is used to denote the root of a quantity. Thus, a⅓
denotes the third or cube root of a. 2.
One who, or that which, stands as an index or representative;
as, the leader of a party is the
. exponent
of its principlesExponent of a ratio
, the quotient arising when the antecedent is divided by the consequent; thus, 6 is the exponent of the ratio of 30 to 5.
[R.]
Webster 1828 Edition
Exponent
EXPO'NENT
,Noun.
1.
In algebra, the number or figure which, placed above a root at the right hand, denotes how often that root is repeated, or how many multiplications are necessary to produce the power. Thus a[2] denotes the second power of the root a, or aa: a[4] denotes the fourth power. The figure is the exponent or index of the power.2.
The exponent of the ratio or proportion between two numbers or quantities, is the quotient arising when the antecedent is divided by the consequent. Thus six is the exponent of the ratio of thirty to five.Definition 2024
exponent
exponent
English
Noun
exponent (plural exponents)
- One who expounds, represents or advocates.
- (mathematics) The power to which a number, symbol or expression is to be raised, for example, the in .
- (mathematics) The result of a logarithm, between a base and an antilogarithm, for example, the in .
- (mathematics, obsolete) The degree to which the root of a radicand is found, for example, the in .
- 1711, [Jacques Ozanam]; Daniel Hilman, transl., “Abridgement of Algebra. Chapter I. Of Monomes.”, in M. Ozanam's Introduction to the Mathematicks or His Algebra: Wherein the Rudiments of that Most Useful Science are Made Plain to a Mean Capacity. Done out of French, London: Printed for R. Sare at Gray's-Inn-Gate in Holborn, OCLC 23617497, problem IV (“To Divide a Quantity by a Quantity”), page 9:
- A Power that hath neither the Signs or before it, is look'd upon as Affirmative, and if it be preceded by a Number that contains the Root ſought and its Exponent may be commenſured by the Exponent of the Root; namely for the Square Root by 2, for the Cube by 3, &c. it will contain the Root ſought.
- 1717, Philip Ronayne, “Of the Indices, or Exponents of Powers”, in A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical Part, book I, part V, London: Printed for W[illiam] Innys at the Prince's Arms in St. Paul's Church-Yard, OCLC 83267734, page 69:
- And univerſally the Exponent of the m Power, is m times the Exponent of the Root, and the Exponent of the m-Root (or Power) is times the Exponent of the Root.
- 1845, Dionysius Lardner, “Algebra”, in Edward Smedley, Hugh James Rose, and Henry John Rose, editors, Encyclopædia Metropolitana; or, Universal Dictionary of Knowledge, on an Original Plan: Comprising the Twofold Advantage of a Philosophical and an Alphabetical Arrangement, with Appropriate Engravings, volume I (Pure Sciences, volume 1), London: B. Fellowes [et al.], OCLC 20598255, page 534:
- The notation by which the root is expressed, is the mark called a radical, placed over the letter, with an exponent to the left indicating the order of the root.
-
- (linguistics) A manifestation of a morphosyntactic property.
![{\displaystyle {\sqrt[{2}]{r}}=b}](https://definify.com/images_main/3222a39ae01af8d2db2a83d44ba40dcc0e8bdf02.svg)
Synonyms
Derived terms
- exponent of inseparability
Translations
One who expounds, represents or advocates
(in mathematics)
Swedish
Noun
exponent c
Declension
| Inflection of exponent | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | exponent | exponenten | exponenter | exponenterna |
| Genitive | exponents | exponentens | exponenters | exponenternas |