Dictionary

exponentiation en · NOUN

Pronunciation

• ĕk-spō-nĕn-shē-ā'-shən (General-American)
• /ˌɛk.spoʊˌnɛn.ʃiˈeɪ.ʃən/ (General-American)
• (US) audio

Etymology

Ultimately from exponent + -i- + -ation. Perhaps from exponential + -ation.

Meanings

1. (countable, uncountable) The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
   • In 5⁴ the base is 5 and the power is 4, so there are 4 identical factors of 5, and exponentiation gives 625 as the result.
   • "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 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. 1998 August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, in The New York Times:
2. (countable) A mathematical problem involving exponentiation.
   • "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 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. 1998 August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, in The New York Times:

Forms

Coordinates

multiplication · hexation · addition · pentation · tetration · succession

Deriveds

exponentiate · superexponentiation

Translations (25)

fi potenssiin korotus (mathematical problem involving exponentiation) · ja 累乗 (the process of calculating a power by multiplying together a number of equal factors) · bg степену́ване (mathematical problem involving exponentiation) · cs mocnění (the process of calculating a power by multiplying together a number of equal factors) · ja 冪乗 (the process of calculating a power by multiplying together a number of equal factors) · it potenza (the process of calculating a power by multiplying together a number of equal factors) · scn spuninziali (the process of calculating a power by multiplying together a number of equal factors) · fi potenssiin korotus (the process of calculating a power by multiplying together a number of equal factors) · hu hatványra emelés (the process of calculating a power by multiplying together a number of equal factors) · hu hatványozás (the process of calculating a power by multiplying together a number of equal factors) · es exponenciación (the process of calculating a power by multiplying together a number of equal factors) · cs umocňování (the process of calculating a power by multiplying together a number of equal factors) · scn putenza (the process of calculating a power by multiplying together a number of equal factors) · pl potęgowanie (mathematical problem involving exponentiation) · ro exponențiere (the process of calculating a power by multiplying together a number of equal factors) · pl potęgowanie (the process of calculating a power by multiplying together a number of equal factors) · fr exponentiation (the process of calculating a power by multiplying together a number of equal factors) · eu berreketa (the process of calculating a power by multiplying together a number of equal factors) · cs umocnění (the process of calculating a power by multiplying together a number of equal factors) · sv exponentiering (the process of calculating a power by multiplying together a number of equal factors) · cmn 乘方 (the process of calculating a power by multiplying together a number of equal factors) · bg степену́ване (the process of calculating a power by multiplying together a number of equal factors) · pt exponenciação (the process of calculating a power by multiplying together a number of equal factors) · it esponenziale (the process of calculating a power by multiplying together a number of equal factors) · vi lũy thừa (the process of calculating a power by multiplying together a number of equal factors)