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IEVref: | 102-02-07 | ID: | |

Language: | en | Status: Standard | |

Term: | exponentiation | ||

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Definition: | function assigning to any positive real number a and any real number b the positive real number denoted by ${a}^{b}$ such that ${a}^{0}=1$, ${a}^{1}=a$ and ${a}^{b+c}={a}^{b}\cdot {a}^{c}$ for any real numbers b and cNote 1 to entry: The function which assigns to any real number Note 2 to entry: The exponentiation can be extended to negative real number | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: The function which assigns to any real number *x* the number *a*^{x} is the exponential function to the base *a*. The function which assigns to any positive real number *x* the number *x*^{b} is a power function.

Note 2 to entry: The exponentiation can be extended to negative real number *a* and integer *b*, and to other mathematical entities, for example, complex numbers, matrices and scalar quantities.