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Any number to the power zero is 1 - except 0 to the power zero, which is undefined.

Consider this sequence:

23 = 8

22 = 4

21 = 2

20 = ???

How do you complete this sequence? Note that at the right, each number is half the previous number. Therefore, 1 looks like the logical choice. Defining x0 = 1 extends the validity of several formulae, including the multiplication of powers: xa times xb = xa+b.

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14y ago

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Q: Why is 2 to the power of 0 equal to 1?
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