exponentiation

English

Etymology

Ultimately fromexponent+‎-ation.Perhaps fromexponential+‎-ation.

Pronunciation

• (General American)enPR:ĕk-spō-nĕn-shē-ā'-shən,IPA^(key):/ˌɛk.spoʊˌnɛn.ʃiˈeɪ.ʃən/

• Audio(US):

  (file)

• Rhymes:-eɪʃən

Noun

exponentiation(countableanduncountable,pluralexponentiations)

1. (mathematics,arithmetic)The process of calculating apowerby multiplying together a number of equal factors, where theexponentspecifies the number of factors to multiply.

   In 5⁴the base is 5 and the power is 4, so there are 4 identical factors of 5, andexponentiationgives 625 as the result.

   • 1998August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, inThe New York Times‎^[1]:

     "The remarkable fact about the system is that it achieves such a high level of security with only six exponentiations," Boneh said, referring to the calculations used to raise numbers to a power. Other systems doexponentiationonce, suggesting that this system may be about six times slower becauseexponentiationis the most time-consuming step in encrypting the data.

2. (mathematics,arithmetic,countable)A mathematicalprobleminvolving exponentiation.
   • 1998August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, inThe New York Times‎^[2]:

     "The remarkable fact about the system is that it achieves such a high level of security with only sixexponentiations,"Boneh said, referring to the calculations used to raise numbers to a power. Other systems do exponentiation once, suggesting that this system may be about six times slower because exponentiation is the most time-consuming step in encrypting the data.

Coordinate terms

• succession
• addition
• multiplication
• tetration
• pentation
• hexation

Derived terms

• exponentiate

Translations

the process of calculating a power by multiplying together a number of equal factors

• Basque:berreketa
• Chinese:

  Mandarin:Luỹ thừa(zh)(chéngfāng)

• Czech:mocněnín,umocňování(cs)n,umocněnín
• Finnish:potenssiin korotus
• French:exponentiation(fr)f
• Hungarian:hatványozás(hu),hatványra emelés
• Italian:esponenziale(it),potenza(it)f
• Polish:potęgowanie(pl)
• Portuguese:exponenciação(pt)f
• Romanian:exponențieref
• Sicilian:putenzaf,spuninzialim
• Spanish:exponenciaciónf
• Swedish:exponentiering(sv)c

mathematical problem involving exponentiation

• Finnish:potenssiin korotus

French

Pronunciation

• Audio:

  (file)

Noun

exponentiationf(uncountable)

1. exponentiation(process)