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Look at this sequence:

103 = 1000

102 = 100

101 = 10

100 = 1


On the left side, the exponent reduces by one at a time; on the right side, the number decreases by a factor 10. So, the last step, 10 to the power zero = 1, is quite logical.


Note that this doesn't PROVE anything; in fact, the definition "x to the power zero = 1" might be considered an arbitrary definition. The sequence above only shows that the definition makes sense.

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Q: Why would an integer with the power of 0 equal 1?
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What is 11000 to the power 0?

Any positive non-zero integer to the power zero is equal to 1.


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it would be equal to 1 only


Does the sum of a negative integer and a positive integer always zero?

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0 to the power 0 is 1 because any number power zero is always equal to 1.Anything to the power of 0 equals 1.


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Do you mean "What is -10 to the power 0 equal to?" Any number raised to 0 evaluates to 1


What does 10 to the power of 3000 equal?

Recall that any number to the power 0 is always equal to 1. So 10^0 (read that as "10 to the power 0") equals 1. and 10^1 = 10 10^2 = 100 10^3 = 1000 10^4 = 10000. Notice something? 10^any integer = 1 followed by "any integer" zeroes. So, 10^100 = 1 followed by 100 zeroes. Oldsniper


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