Exponentiation

Arithmetic operation

In mathematics, exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent, n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying b by itself n times: b n = b × b × ⋯ × b × b ⏟ n times . {\displaystyle b^{n}=\underbrace {b\times b\times \dots \times b\times b} _{n{\text{ times}}}.} The definition of exponentiation can be extended in a natural way to define b x {\displaystyle b^{x}} for any positive real number base b {\displaystyle b} and any real number exponent x {\displaystyle x} .

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