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Long story short- x2 / x = x , x3 / x = x2 , so x1 /x = x0 , and any whole number besides zero divided by itself is equal to one, therefore x0 is equal to one.

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Q: Why does a number that is raised to the power of zero equal one?
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Related questions

Why is there an inconsistency between zero raised to the power of zero?

The inconsistency is the following:Any number raised to the power zero is equal to one.Zero raised to any power is equal to zero.


What does any nonzero raised to the zero power equal?

Any number raised to the power of zero is always equal to 1


Any nonzero number raised to the power of zero is equal to?

Any nonzero number raised to the power of zero is equal to one (1).By definition.


What does any number raised to the zero power equal?

Any number to the power of zero equals one.


When a number is raised to zero does it have the same value as another number is raised to a zero?

Yes because any number raised to the power of zero is always equal to 1


What is a number to the zero power?

Any Non-zero number, raised to the zero-power is equal to one (1). Zero raised to the zero power is not defined, but can converge towards a limit, for certain functions.


What is 20 to the zero power?

Any non-zero number, raised to the zero power is equal to 1.


What does minus five to the zero power equal?

By definition, any number raised to the zero power is "one".


8x to the zero power?

Anything raised to the power of zero is zero !


What is the value of any nonzero base raised to the zero power?

The value of any nonzero number raised to the zero power will equal positive one (1).


What is two to the zero power?

Any number raised to the power zero is equal to one. (However, 00 isn't defined.)


What happens to a number when it has 0 as an exponent?

Anything (except zero) raised to the zero power is equal to one.