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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.

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

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

Any integer raised to the power of zero is 1.

Two raised to the power of zero is 1

That's not true. Zero raised to any power except zero is zero, not one.

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

Related questions

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 zero power is... zero !

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

Any integer raised to the power of zero is 1.

Anything raised to the power of zero is zero !

Anything, except zero, raised to the power of zero is 1

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.

Two raised to the power of zero is 1

That's not true. Zero raised to any power except zero is zero, not one.

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

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

It remains as zero