Anything raised to the 0th power (except 0) is equal to 1.
The reason:
Consider the following sequence of numbers:
104, 103, 102, 101
Another way to write this sequence of numbers is
10000, 1000, 100, 10
Notice that each number is one-tenth of the preceding number.
1000 is one-tenth of 10000
100 is one-tenth of 1000
10 is one-tenth of 100.
What should the next number in the sequence be?
Looking at the first way of writing the numbers, it should be 100.
Looking at the second way of writing it should be one-tenth of 10. One-tenth of 10 is 1.
Similarly 10-1 would be the next number in the sequence and it would have to equal one-tenth of 1 or 0.1.
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Yes. Any number to the 0 power is 1
1. Any number to the power of zero is equal to one.
I don't like this answer, but according to mathematical theory, anything but zero ,to the zeroth power is set equal to "one".
Zero
Anything to the power zero is equal to 1 by definition.