#1

Ok, i just want someone to explain to me this

10^0 = 1

To me that sounds mathematicly incorrect. Presumably we know that 10^2 = 100 because that is saying that you have to lots of 10 and you are multyplying them together. Therefore 10^3 means you have 3 lots of ten and you are multyplying them all together, which it does. Therefore 10^0 means you have 0 lots of ten and you are multyplying them together. Therefore the answer should be 0? correct

Or is there something i'm missing here?!

thanks

10^0 = 1

To me that sounds mathematicly incorrect. Presumably we know that 10^2 = 100 because that is saying that you have to lots of 10 and you are multyplying them together. Therefore 10^3 means you have 3 lots of ten and you are multyplying them all together, which it does. Therefore 10^0 means you have 0 lots of ten and you are multyplying them together. Therefore the answer should be 0? correct

Or is there something i'm missing here?!

thanks

#2

Anything to the 0 is 1

1^0=1

5^0=1

24365249^0=1

Don't question it man, just accept it

1^0=1

5^0=1

24365249^0=1

Don't question it man, just accept it

#3

10^3 = 1000

10^2 = 100

10^1 = 10

10^-1 = 1/10

10^-2 = 1/100

etc...

10^0 = 1 fits the pattern, am I correct?

10^2 = 100

10^1 = 10

10^-1 = 1/10

10^-2 = 1/100

etc...

10^0 = 1 fits the pattern, am I correct?

#4

Well, if you're going to use ten as an example:

To find the power of ten, you just take the exponent and put that many zeros behind a one. An exponent of 0 would mean you have no zeros to put behind it, so it's just one.

However, mathematically it has something to do with properties of multiplication and such.

edit: Here, Wikipedia has a good mathematical explanation.

To find the power of ten, you just take the exponent and put that many zeros behind a one. An exponent of 0 would mean you have no zeros to put behind it, so it's just one.

However, mathematically it has something to do with properties of multiplication and such.

edit: Here, Wikipedia has a good mathematical explanation.

#5

x^n*x^y=x^(x+y)

x^n*x^n=x^2n

x^n/x^n=x^0=1

If you can follow it, that should explain it

x^n*x^n=x^2n

x^n/x^n=x^0=1

If you can follow it, that should explain it

#6

I cant rember why but their is a perfectly good explanation to why anything to the power of 0 = 1

#7

Anything to the 0 is 1

Don't question it man, just accept it

+1

#8

Imagine it better like:

10^-2 = 0.01

10^-1=0.1

10^0= ....

10^-2 = 0.01

10^-1=0.1

10^0= ....

#9

Ask Maynard

#10

Ok i get it now, thanks to the guy with the wikipedia link, it wasn't taught nething like that today!! but now it's clear, cheers guys!

#11

When we were shown it by our teacher we were shown;

x^y / x^z = x^(y-z) [just the straight forward "dividing indices" rule]

If y = z

x^y/x^z = x^0

A number divided by itself is 1. y = z, hence x^y = x^z.

Therefore x^y/x^z = 1.

And so x^0 = 1.

I know you said you get it now, but I just thought I'd share my way of proving it.

x^y / x^z = x^(y-z) [just the straight forward "dividing indices" rule]

If y = z

x^y/x^z = x^0

A number divided by itself is 1. y = z, hence x^y = x^z.

Therefore x^y/x^z = 1.

And so x^0 = 1.

I know you said you get it now, but I just thought I'd share my way of proving it.

#12

10^3 = 1000

10^2 = 100

10^1 = 10

10^-1 = 1/10

10^-2 = 1/100

etc...

10^0 = 1 fits the pattern, am I correct?

Yes.

The way my math teacher explained it, it exists that way simply because it has to.

#13

I never actually bothered thinking about why x^0 = 1 before now, I was told it years ago and told it just did, so that's all I've thought of it as.

If you think that's odd, wait until later when you get told e^pi(i) + 1 = 0 where i = the square root of (-1).

If you think that's odd, wait until later when you get told e^pi(i) + 1 = 0 where i = the square root of (-1).

#14

Imaginary numbers are the greatest!

#15

anything to the 0 power is one!

#16

I cant rember why but their is a perfectly good explanation to why anything to the power of 0 = 1

Haha. Yes we all know there is, james. We all know there is.

#17

Because it's base ten. All numbers can be explained in terms of their base number system...thats where we get "place values" from.

The 1's place

10^0 = 1

The 10's place

10^1 = 10

...and so on.

Now you just multiply whatever number occupies that place so the number 3, is actually 3X10^0

Binary works the same way but in base 2.

2^0 = 1

2^1 = 2

2^2 = 4

The 1's place

10^0 = 1

The 10's place

10^1 = 10

...and so on.

Now you just multiply whatever number occupies that place so the number 3, is actually 3X10^0

Binary works the same way but in base 2.

2^0 = 1

2^1 = 2

2^2 = 4

#18

a/a=1

a^x/a^x=a^0=1

it's perfectly understandable

if you're talking about why it's not 0 when the "power" is 0 you just have to remember that exponents are always positive.. they're never even 0

pretty simple in my opinion

a^x/a^x=a^0=1

it's perfectly understandable

if you're talking about why it's not 0 when the "power" is 0 you just have to remember that exponents are always positive.. they're never even 0

pretty simple in my opinion

#19

x^n / x^m = x^(n-m), right? So then

x^4 / x^4 = x^(4-4), and 4-4 = 0. But we know that any number (in this case x^4) divided by itself equals one, so:

x^4 / x^4 = x^0

x^4 / x^4 = 1

x^0 = 1

Exponents can be negative...

x^(-n) = 1 / x^n

x^4 / x^4 = x^(4-4), and 4-4 = 0. But we know that any number (in this case x^4) divided by itself equals one, so:

x^4 / x^4 = x^0

x^4 / x^4 = 1

x^0 = 1

if you're talking about why it's not 0 when the "power" is 0 you just have to remember that exponents are always positive.. they're never even 0

Exponents can be negative...

x^(-n) = 1 / x^n

*Last edited by Raziel2p at Oct 19, 2007,*

#20

10^0=(1*10/1*10)=1/1=1