IEVref: 102-02-07 ID: Language: en Status: Standard Term: exponentiation Synonym1: Synonym2: Synonym3: Symbol: 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 x the number ax is the exponential function to the base a. The function which assigns to any positive real number x the number xb 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. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: