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The simple way to reason it is this: think backwards. Say I tell you that 210=1024. Given this how would you find 29? You would never want to multiply the whole thing out again. You would probably divide 210 by 2. What's 23? 8. What is 22? divide that last answer by 2 to get 8/2 = 4. What is 21? divide the last answer by 2 to get 4/2 = 2. What is 20? divide the last answer by 2 to get 2/1 = 1.
In higher mathematics, the reason comes from the definition. Mathematicians define a0 = 1 and then they define an+1 as an * a. Let me think of an example. If we define 20=1, then what is 21? 21= 20+1= 20*2 (this is because we defined it this way an*a = an+1). = 1*2 = 2. We can similarly define every exponent in this way by using the one below it. Mathematicians call this a definition by induction.
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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.
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.
Why is the answer always one when the exponent is zero?
because it will ALWAYS = 1
Can you have more than one exponent on top of a number?
Yes, you can, but it starts getting complicated. You can, for example have a number raised to an exponent that is itself a number raised to an exponent, or you can have a number raised to an exponent and the result raised to another exponent.
What is an irrational exponent?
It means that it is an exponent, and that it is not a rational number - i.e., one that can be written as a fraction of two integers.
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.
How does a zero exponent equal to zero?
no it equals one no matter the number
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 exponent zero on a number that is equal to zero?
The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).
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 happens to a number when it has 0 as an exponent?
Anything (except zero) raised to the zero power is equal to one.
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.
What is an exponent of zero?
There is no exponent of zero. Instead of zero it is one.
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 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 answer if the exponent is a zero?
One
Is there a number with more than one power?
Yes. 1 can have any exponent, and will always be equal to 1. And -1 can have any odd exponent, and will always be equal to -1.
