Question

Anything raised to the zero power will equal 1.

True
False

Answer 1

@jazy

Answer 2

@jazy ?

Answer 3

@SWAG

According to exponential rule,

\[n^0=1\]

Answer 4

its trueeeee

Answer 5

what is \[0^0\]?

Answer 6

But\[0^0 = Undefined\]

Answer 7

so that makes it true?

Answer 8

yes ofcourse

Answer 9

@swag - do you know the following rule:\[\frac{x^a}{x^b}=x^{a-b}\]

Answer 10

No

Answer 11

I think all the mods are in house today :D

Answer 12

Foreal iv never had so many people or moderators on my question before

Answer 13

Technically, most of the time \(0^0\) is regarded as undefined, but some mathematicians implement the idea that \(0^0=1\) when the feel that it "makes more sense" so to speak.

Answer 14

it's a subtle issue really

Answer 15

take a simple case:\[\frac{x^4}{x^3}=\frac{x\times x\times x\times x}{x\times x\times x}=x\]agreed?

Answer 16

\[\Large \infty^0=?\]

Answer 17

well, you can say infinity is not a number, but still...

Answer 18

Right

Answer 19

who are you responding to there?

Answer 20

@asnaseer

Answer 21

it does not a number, it says anything (:

Answer 22

Yeah :D

Answer 23

I think @asnaseer originally showed me this:
http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0to0/#b

Answer 24

ok, so you should be able to see now that:\[\frac{x^4}{x^3}=x^{4-3}=x^1=x\]

Answer 25

this is where the rule comes from. so, taking the rule:\[\frac{x^a}{x^b}=x^{a-b}\]if you let b=a, you get:\[\frac{x^a}{x^a}=x^{a-a}=x^0\]but:\[\frac{x^a}{x^a}=1\]therefore:\[x^0=1\]apart from the case where x=0

Answer 26

\[\Large N^0=1\]and \[ \Large 0^N=0\]but \[\Large 0^0=0 \] or \[\Large 0^0= 1 \]?

Answer 27

Anything raised to the zero power will equal 1. <---So this would be False, since not EVERY number follows this rule.

Answer 28

No it's debatable

Answer 29

if you look at the link @TuringTest posted above, it states under the section "The following is a list of reasons why 0^0 should be 1." some reasons as to why we generally regard \(0^0=1\)

Answer 30

Okay according to my notes in Algebra...it'd be true. I prefer going with what the lesson says. (;

Answer 31

here's another good rundown of the trickyness in finding a direct answer
http://www.askamathematician.com/2010/12/q-what-does-00-zero-raised-to-the-zeroth-power-equal-why-do-mathematicians-and-high-school-teachers-disagree/

Answer 32

I think so that the answer is TRUE.