answersLogoWhite

0

Why is 10 power 0 equal to 1?

Updated: 9/21/2023
User Avatar

Wiki User

12y ago

Best Answer

Any number to the power zero is equal to one. That can be derived from the following index law:

xa*xb = xa+b (x not zero)

Now let b = 0 so that the above becomes

xa*x0 = xa+0

so

xa*x0 = xa (since a+0 = a)

That is, any number multiplied by x0 is the number itself. That can be true only if x0 is the multiplicative identity, that is, only if x0 = 1.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is 10 power 0 equal to 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Why is -10 to the power 0 equal to?

Do you mean "What is -10 to the power 0 equal to?" Any number raised to 0 evaluates to 1


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

Yes, everything to the power of 0 equals 1.


What is the metric prefix symbol for 10 to the 0 power?

i don't think there is a metric prefix symbol for 10^0 . 10^0 (said as 10 to the 0th power) = 1 anything to the zero power is equal to 1


The expression 10 to the zero power is equal to what number?

the answer is 10^0=1 the number 1


What is 10 to the 22nd power equal?

1 followed by 22 0's .


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.


What does 10 to the power of 3000 equal?

Recall that any number to the power 0 is always equal to 1. So 10^0 (read that as "10 to the power 0") equals 1. and 10^1 = 10 10^2 = 100 10^3 = 1000 10^4 = 10000. Notice something? 10^any integer = 1 followed by "any integer" zeroes. So, 10^100 = 1 followed by 100 zeroes. Oldsniper


If the exponet of a number is 0 example 10 to the 0 does that number that has the exponet equal 0 example 10to the00 or does it equal somthing else?

the answer will be equal to 1,irrespective of of the base value.In other words anything to the power 0 is equal to 1.


What is 2 to the power 0 equal to?

2 to the power 0 or 20 is equal to 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.


The power of 0?

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


What does 78 to the 0 power equal?

1 Anything to the 0 power = 1