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Consider this a definition, but a very useful one. Defining it this way, several rules about powers continue being valid for this special case. For example, consider the following:

100 x 103 = 103

This is valid according to the rule for adding exponents, since 0 + 3 = 3. Now, how much should the expression 100 be? Obviously the answer is one.

Here is another way to look at it. Consider the sequence:

103 = 1000

102 = 100

101 = 10

100 = ?

So, what's the value of the question mark? Note that on the left, the exponent goes down one at a time. On the right, each term is ten times less than the one on the previous line. Thus, the logical value to fill out the question mark seems to be one.

Q: Why is any number raised to the power of zero 1?

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Any number raised to the zero power is... zero !

Any number to the power of zero equals one.

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.

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

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

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Any number raised to the zero power is... zero !

Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.

Any number raised to the power of zero is just 1.

Any number to the power of zero equals one.

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.

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 one (1).By definition.

Any number (except zero) raised to the power of zero, is one.

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.

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

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

Any number raised to the power 0, is 1.