answersLogoWhite

0


Best Answer

The multiplicative law of indices states that

xa * xb = xa+b

Now, if you put b = 0 in that equation you get

xa * x0 = xa+0

But a+0 = a so the right hand side is simply xa

Which means, the equation becomes

xa * x0 = xa

This is true for any x.

That is, multiplying any number by x0 leaves it unchanged.

By the identity property of multiplication, there is only one such number and that is 1.

So x0 must be 1.

User Avatar

Wiki User

โˆ™ 2011-10-21 10:58:27
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar

Add your answer:

Earn +20 pts
Q: Why does everything to the 0 power 1?
Write your answer...
Submit
Related questions

What is negative 9 to the 0 power?

1 everything to the power of 0 = 1


Why does 1 to the power of 0 still equal 1?

Everything to the power of 0 equals 1


Is anything to the power of 0 equals 1?

Everything to the power of 0 equals 1.


Is 10 to the 0 power equal to 2 to the 0 power?

Yes, everything to the power of 0 equals 1.


What does 0 to the power of 0 equal?

0 to the power 0 is 1 because any number power zero is always equal to 1.Anything to the power of 0 equals 1.


How do you prove that X to the power 0 equals 1?

(a to the power of 1)/(a to the power of 1)=1 So, a to the power of (1-1)=1 Therefore, a to the power of 0=1


How is a to the 0 power 1?

maybe 1 power of 0 is 1 is The answer is one (1)


What is the 1 to the power of 0?

anything to the 0 power is 1, so the answer is 1


What is the answer to -2 to the power of 0?

1 anything to the power of 0 is 1


What is the value of 1 to the power 0?

Anything to the power of 0 is 1.


Why is 10 to the power 0 equal 1?

Anything to the power 0 is 1


The power of 0?

1. Any number to the power of 0 is equal to 1.


Why is 7 to the power of 0 1?

7 to the power of 0 = 1 7 to the power of 1= 7


why is a number to the power 0 1?

why is a number to the power of 0 1


Why does 2 to the power of 0 equal 1?

any number to the power of 0 = 1


What power of 2 equals 1?

0 since anything to the power of 0 = 1


Why is 0 to the 0 power 1?

0


Simplify 17 to the 0 power?

x^0 = 1 Anything in the power of 0 is 1


What is 19 to the 0 power?

19 to the 0 power is 1.


What is 10 to the power of 0?

10 to the power 0 is 1


How do you do 25.12 to the power of 0?

25.12 to the power of 0 = 1


What is -1 raised to the power of 0?

(-1)^0 = 1 -(1)^0 = -1


What is 7 to the power of 0?

Anything to the power of 0 has an answer of 1. So 7โฐ = 1, as well as any other number you can think of.


What is 3 to the power of 0?

Any number raised to the power of 0 will be 1. 1^0=1 3^0=1 59877658175631839756297346078964145016734207660^0=1 1. Anything to the power of 0 is 1


What does 78 to the 0 power equal?

1 Anything to the 0 power = 1

Study guides

๐Ÿ““
Create a Study Guide