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Exponentiation is a mathematical operation involving raising a base to an exponent. The operation is defined for positive integer exponents as repeated multiplication of the base by itself. In particular: In the last example above, is the base and the exponent (or, less formally, power).

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  • Exponentiation
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  • Exponentiation is a mathematical operation involving raising a base to an exponent. The operation is defined for positive integer exponents as repeated multiplication of the base by itself. In particular: In the last example above, is the base and the exponent (or, less formally, power).
  • Exponentiation is a mathematical operation \(a^b = a\) multiplied by itself \(b\) times. For example, \(3^3 = 3 imes 3 imes 3 = 27\). It is ubiquitous in modern mathematics. \(a^b\) is typically pronounced "\(a\) to the \(b\)th power" or \(a\) to the \(b\)th." \(a\) is called the base, and \(b\) the exponent. In googology, it is the third hyper operator. When repeated, it forms tetration. In the fast-growing hierarchy, \(f_2(n)\) corresponds to exponential growth rate.
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abstract
  • Exponentiation is a mathematical operation involving raising a base to an exponent. The operation is defined for positive integer exponents as repeated multiplication of the base by itself. In particular: In the last example above, is the base and the exponent (or, less formally, power).
  • Exponentiation is a mathematical operation \(a^b = a\) multiplied by itself \(b\) times. For example, \(3^3 = 3 imes 3 imes 3 = 27\). It is ubiquitous in modern mathematics. \(a^b\) is typically pronounced "\(a\) to the \(b\)th power" or \(a\) to the \(b\)th." \(a\) is called the base, and \(b\) the exponent. In googology, it is the third hyper operator. When repeated, it forms tetration. In the fast-growing hierarchy, \(f_2(n)\) corresponds to exponential growth rate.
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