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Two ways of looking at it. First is the law of adding exponents when you multiply terms. For example, 2^4 is 16, whereas 2^-4 is 1/16. Multiplying 2^4 by 2^-4 gives 2^0 when you add the exponents. But multiplying 16 by 1/16 gives 1. So 2^0 has to be 1. Another way is pattern matching. 3 to the power of 3 = 27. 3 to the power of 2 = 9. 3 to the power of 1 = 3. 3 to the power of 0 = ____ 3 to the power of –1 is 1/3. 3 to the power of –2 is 1/9. 3 to the power of –3 is 1/27. What goes in the blank ? Well follow the pattern. Every number on the right is the preivous number divided by 3. So it has to be 1. Even 0^0 is defined to be 1 and not 0.

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โˆ™ 2008-12-15 03:17:15
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Q: Why is the power of zero always 1?
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Whats 2 the zero power?

Any number to the power of zero is always 1


What is the value of a number to the zero power?

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


What does the power of 0 always do?

Any number to the power of zero is always reduced to 1 as for example 666^0 = 1


What is zero to any power?

Zero to any power is always zero.


What does any nonzero raised to the zero power equal?

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


What does 10 to the power of zero?

100=1 because any number to the power of 0 is always 1.


What is the value of any monomial raised to the zero power?

It is always 1


If any nonzero raised to the power of zero is equal to?

It is always 1


Why is the answer always 1 when the exponent is 0?

Any number to the zero power equals '1'.


What is zero to the 10th power?

Zero to the 10th power is 0. Zero to any power will always be 0.


What is 124 to the zero power?

It is 1 because everything to the zero power is 1.


What is 3 with the exponet of 0?

It would be 1..constant raised to zero power= 1.. always


What is the equivalet of 0 exponent?

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.


Solve 8x to the zero power?

Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.


What is a zero exponet?

Any number except 0 itself raised to the power of zero exponent is always equal to 1


Why does 14 to the zero power equal one?

Because any number raised to the power of zero always equals one as for example 666^0 = 1


What is 20 to the zeroth power?

When we raise a number to the zeroth power, that means we multiply the number by itself zero times. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.


What does 0 to the power of 0 equal?

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.


What is 1000 to the power of zero?

Anything to the power zero is 1.


What is 9 to the power of zero?

Nine to the power of zero is 1.


What is the derivative for x to the power of 0?

x^0 = 1 for all x. The derivative of 1 is always zero.


Why x power zero is equal to one?

Because any number raised to the power of 0 is always equal to 1


Is 1.75 to the zero power 1?

Yes, any number to the zero power = 1


What is p to the power of zero?

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


What is zero to the power of infinity?

No matter how many times you multiply zero by itself, you will always get zero.