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You first define negative powers as the reciprocals of the positive powers ie x-a = 1/xa.

You have the folowing property for positive powers: xa * xb = xa+b

You extend the following property to negative powers:

So xa * x-a = x0. But by definition, xa * x-a = xa * 1/xa = 1

So x0 = 1

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โˆ™ 2009-11-10 12:20:40
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Q: How do you prove that a to the power of 0 equals 1?
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How do you prove that X to the power 0 equals 1?

(a to the power of 1)/(a to the power of 1)=1 So, a to the power of (1-1)=1 Therefore, a to the power of 0=1


Is anything to the power of 0 equals 1?

Everything to the power of 0 equals 1.


Why does 1 to the power of 0 still equal 1?

Everything to the power of 0 equals 1


What power of 2 equals 1?

0 since anything to the power of 0 = 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.


1 to the zero power equals?

Every number to the power of 0 equals 1.because the the power of x is 1 because 1 have no value


Is 10 to the 0 power equal to 2 to the 0 power?

Yes, everything to the power of 0 equals 1.


What is 29 to the 0 power?

any number raised to the 0 power equals 1. so the answer is 1


20 to power of 1?

ANY number raised to the power of 1 equals itself. Any number raised to the power of 0 equals 1.


What does 10 to 0 power equals?

1


Can -4 to the power 0 equals 1?

Any number x^0 = 1


What does -3 with an exponent of 0 equals?

1. Any number to the power of 0 is 1.


What is 10 to the power of 0 equal?

10 to the power of 0 equals 1


What is something to the 0 power?

Anything to the zero power equals 1.


Why 2 power 0 eqals to 1 mathametcal?

Any non-zero number to the power 0 equals 1.


What problem equals 1?

Any positive number greater than zero raised to the power of 0 always equals 1 as for example 666 to the power of 0 equals 1


What is the answer to 3 the power of 0?

Any number raised to the power ' 0 ' equals 1. 3^0 = 1


What does a number raised to the power of 0 equal?

Any number raised to the power 0 equals 1.


Why 3 to the power of 0 is equal to 1?

anything to the power of 0, always equals 1. This is what i know. Hope I answered your question.


3 to the 0 power equals zero?

No, anything to the power of zero = 1


-13 to the 0 power?

anything having power zero is equals to 1


What is 15 too what power that equals one?

15 to the power of 0 = 1


What is 2 to the power of something equals 1?

2^0=1 anything^0=1


What is 2 to the power of 0 equal to?

Any number to the power of 0 equals 1.Therefore 2 to the power of 0 = 1


What is 545 raised to the power of 0?

5450 equals 1

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