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The exponent rule for multiplication is

xa * xb = xa+b

Now, if you put b = 0, then a+b = a so that the above reads:

xa * x0 = xa which only works if x0 = 1.

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Q: Why the exponent rule of zero equals one?
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Related questions

Can you get zero using exponents?

No. Even a number with an exponent of zero equals one. There is no way an exponent on a number will make it zero.


How does a zero exponent equal to zero?

no it equals one no matter the number


What is an exponent of zero?

There is no exponent of zero. Instead of zero it is one.


What is the meaning of a zero exponent and the meaning of a negative exponent?

The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1A negative exponent is equivalent to 1 over a positive exponent.x^1 = x x^0 = 1x^-1 = 1/x


What is the exponent of zero is?

no exponent can make a number equal to zero, however any number with an exponent of zero is one.


What is the rule for a number multiplied by the power of zero?

Anything to the zero power equals one.


What is zero exponent?

If a number (other than 0) has 0 as an exponent, it equals 1! It may be hard to believe but it is true, no matter what number. If a number has no exponent, there is basically an invisible 1 as the exponent, so the number would be equal to itself. Zero with the exponent zero is meaningless.


What is the answer if the exponent is a zero?

One


When a number has a little 0 after what does it mean?

If that little zero is a superscript, like this: 20 Then it means "to the power of zero". Zero is a very special exponent, as anything to the power of zero equals one (except zero itself. 00 is undefined).


How do you solve an exponent if it's by the power of zero?

Any exponent to the power of zero is simply 1, with the exception of zero itself! Zero to the power of zero has no definitive answer, though it may sometimes be taken as equal to one.


What does 6 with an exponent of 0 equal?

Any number with an exponent of zero is equal to one. 60 = 1


Why is the answer always one when the exponent is zero?

because it will ALWAYS = 1