answersLogoWhite

0

Why anything power 0 is one?

Updated: 9/18/2023
User Avatar

Wiki User

13y ago

Best Answer

This is related to the fact that one is the identity element of multiplication. If nothing is multiplied, the result must be zero.

Look at the following sequence:

103 = 1000

102 = 100

101 = 10

100 = ???

On the left, the exponent decreases one at a time. On the right, the numbers decrease every time by a factor of 10. So, you would expect the missing number on the right to be a one.

Yet another way to look at this is that certain rules, like xa times xb = xa+b, maintain their validity for more cases, if you defined x0 = 1. For example, 100 times 103 should be equal to103. This is only possible if you define 100 = 1.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why anything power 0 is one?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is 40 to the 0 power?

Anything to the power of zero is 1.Not only 40 to the power 0,but any value (except 0)to the power zero will be one.


What is 11 to the power of 0?

1... Anything raised to the power zero is one.


What is 17294563 raised to the power of zero?

1. anything raised to the power of 0 is one.


How do write 4.5610 to the 0 power?

1. Anything to 0th power is equal to one.


Does anything to the power of 1 equal one or zero?

Anything to the power of 1 equals itself. i.e. 271=27, 9981=998 Anything to the power of 0 equals 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.


Is Anything to the power of zero 0?

No. All real numbers, when raised to the power zero, are equal to 1. Even zero to the zero is equal to 1.


Why cant 0 to the power of 1 equal 0?

I'll tell you the correct reason why i've just learned this today in class but it's because 'anything to the power of 0 is one' i didn't get it eaither but my teacher told me that so just rememer anything to the power of 0 is 1


What does 78 to the 0 power equal?

1 Anything to the 0 power = 1


Simplify 17 to the 0 power?

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


What is five to the 0 power?

0, anything to the 0 power will always be 0, it's just basic math.