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Why is zero raise to zero undefined?
By definitions,x^0 = 1 for any non-zero number xalso0^x = 0 for any positive xSo, if 0^0 was defined, then the first definition would say it was equal to 1 and the second that it was equal to 0.There is a more detailed but complicated explanation which relies on limits but I hope this will suffice.
Why is a number raise to zero is equal to one?
x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)
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 number raised to the zero power equal?
Any number to the power of zero equals one.
What is 20 to the zero power?
Any non-zero number, raised to the zero power is equal to 1.
