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Why does any number raise to the zero power equal one?

Anonymous

∙ 13y ago

Updated: 9/20/2023

Because (K)B/(K)A = K(B-A) and any number divided by itself = 1 .

Wiki User

∙ 13y ago

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Q: Why does any number raise to the zero power equal one?

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Why is zero raise to zero undefined?

By definitions,x^0 = 1 for any non-zero number xalso0^x = 0 for any positive xSo, if 0^0 was defined, then the first definition would say it was equal to 1 and the second that it was equal to 0.There is a more detailed but complicated explanation which relies on limits but I hope this will suffice.

Why is a number raise to zero is equal to one?

x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)

Why is there an inconsistency between zero raised to the power of zero?

The inconsistency is the following:Any number raised to the power zero is equal to one.Zero raised to any power is equal to zero.

What does any number raised to the zero power equal?

Any number to the power of zero equals one.

What is 20 to the zero power?

Any non-zero number, raised to the zero power is equal to 1.

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Related Questions

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.

Why is zero raise to zero undefined?

By definitions,x^0 = 1 for any non-zero number xalso0^x = 0 for any positive xSo, if 0^0 was defined, then the first definition would say it was equal to 1 and the second that it was equal to 0.There is a more detailed but complicated explanation which relies on limits but I hope this will suffice.

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

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

Why is a number raise to zero is equal to one?

x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)

Why is there an inconsistency between zero raised to the power of zero?

The inconsistency is the following:Any number raised to the power zero is equal to one.Zero raised to any power is equal to zero.

What does any number raised to the zero power equal?

Any number to the power of zero equals one.

What is 20 to the zero power?

Any non-zero number, raised to the zero power is equal to 1.

What is 9 to the zero power plus 11 to the zero power?

Any number (except 0) raised to the power of 0 is equal to 1. Therefore, 9 to the zero power is 1, and 11 to the zero power is also 1. So, 9 to the zero power plus 11 to the zero power is equal to 1 + 1 = 2.

Any nonzero number raised to the power of zero is equal to?

Any nonzero number raised to the power of zero is equal to one (1).By definition.

What does any nonzero raised to the zero power equal?

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

What is 1000 to the power of zero?

Well, isn't that just a happy little question! When we raise 1000 to the power of zero, it's like giving a big warm hug to that number. The answer is 1, because any number raised to the power of zero is always 1. Just like how every tree needs a strong root, every number needs a little one to hold on to.

What is 37 to the power of zero?

370 = 1 ======any number to the power of zero will equal 1

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