By mathematical law, any non-zero number raised to the zero power is one; however, there is no fixed law that defines the value of zero raised to the zero power.

BASH (Bourne-Again SHell): $ echo $((0**0)) dc (desk-calculator) command: $ dc 0 0 ^p 1 q python interpreter: $ python >>> print 0**0 1 ctrl-d TI-86 calculator: 0^0 ERROR 04 DOMAIN Ubuntu Linux scientific calculator: 0^0 ErrorGoogle.com calculator says... 0^0 = 1

OakRoadSystems.com says... "evaluating 0^0 is a topic for your calculus course."

MathIsFun.com says... since

`x^0 = 1`

, then`0^0 = 1`

; but... since`0^n = 0`

, then`0^0 = 0`

; but... when in doubt`0^0 = "indeterminate."`

M-W.com (Merriam-Webster Online) says

indeterminatemeans "not definitely or precisely determined or fixed." Another definition provided by M-W.com was "being one of the seven undefined mathematical expressions 0/0, ∞/∞, ∞·0, 1^{∞}, 0^{0}, ∞^{0}, ∞ - ∞"What power... When

`0`

, just like zero factorial (^{0}equals 1`0!`

), nothing becomes something.## Update::2014.04.26

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 07 May 2007

This work is licensed under a Creative Commons Attribution 3.0 United States License.