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Mathematics 18 Online
OpenStudy (anonymous):

is x to the 0 power = 1?

OpenStudy (kinggeorge):

In most cases. If \(x=0\) then we have some problems.

OpenStudy (agentjamesbond007):

Anything to the power of 0 is 1

OpenStudy (anonymous):

ok thanks guys

OpenStudy (kinggeorge):

Agent is right, except for when \(x=0\). Even complex numbers go to 1. \[0^0\] however is indeterminate.

OpenStudy (anonymous):

ok i believe you have earned a medal thanks

OpenStudy (lgbasallote):

i think \(\infty ^0\) is not defined is it @KingGeorge ?

OpenStudy (turingtest):

@KingGeorge 's exception is an important one and yes @lgbasallote

OpenStudy (kinggeorge):

But infinity isn't a number (techincally), and we're assuming (at least I was) that x is a number.

OpenStudy (anonymous):

that is a good exception will keep in mind

OpenStudy (anonymous):

thanks for the discussion everyone

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