Posted by **Usher** on Tuesday, January 22, 2008 at 5:44pm.

Why is it that everything to the ZERO power equals one?

ex:

5^0= 1

234325346^0= 1

- math... help plz (not hard) -
**Quidditch**, Tuesday, January 22, 2008 at 5:54pm
Each time you multiply a number by itself you increment the exponent:

A*A=A^2

Each time you divide a number by itself you decrement the exponent:

So...

(A^3)/A = A^2

(A^2)/A = A^1 = A

A/A = 1 = A^0

Hope this helps.

A

- math... help plz (not hard) -
**mk-tintin**, Tuesday, January 22, 2008 at 6:00pm
it's right

but in fact the best argument

if x is a number

A^x=exp(x*ln(A))

and exp(0)=1

but i don't know if you know exp and log functions lol

- math... help plz (not hard) -
**Damon**, Tuesday, January 22, 2008 at 6:04pm
If you have a calculator try raising some number to smaller and smaller powers and see what happens.

100^.01 =1.0471

100^.001 =1.00461

100^.0000001 = 1.000000461

- math... help plz (not hard) -
**Reiny**, Tuesday, January 22, 2008 at 6:42pm
Here is another explanation

If you accept the rules of exponents then

x^a/x^a = x^(a-a) = x^0

but x^a/x^a = 1 since any number divided by itself is 1

so x^0 = 1

- math... help plz (not hard) -
**mk-tintin**, Tuesday, January 22, 2008 at 7:14pm
i don't know what is your level in maths..

so you can write x^a/x^a=1

but,in fact,it's wring because it's not defined for x=0

so your answer is right but in high school it's wrong...

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