# Exponentiation Operator

Exponentiation is a binary operator that operates on a base value and an exponent value. The exponent is denoted in a superscript style. A base value to the power is the same as multiplying the base by itself times. For example, 2 to the 3 power which is represented as is equal to 2 multiplied by 2 multiplied by 2:

The exponentiation operator is intimatiley related to the logarithm and radical operators^{[1]}. It plays a prominent role in exponential growth.

The basic pattern of exponentiation is demonstrated by raising a base value, in this case 5, to powers starting from 1 and increasing.

Name | Property |
---|---|

Zero Property | |

Identity Property | |

Negative Property | |

Product Property | |

Quotient Property | |

Power Property | |

Radical Property |

The exponential function models exponential growth. The output of the function at any given point is equal to the rate of change at that point. For real number input, the function conceptually returns Euler's number raised to the value of the input.

Returns the result of b raised to the y power.