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A common explanation for this in mathematics is the laws of exponents. One law states x^l-m = x^l/x^m.

The proof is the following

x^0 = x^n-n

=x^n/x^n Law of Exponent

=1/1 Reducing

=1

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Q: Why when you have an exponent of 0 the result is 1?
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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


Why is 40 to the power of 0 equal 1?

It is like a pattern. 4^4=64 4^2=16 4^1=4 4^0=1 as the exponent gets smaller the result is divided by 4.


What is 18 exponent 0?

All (ordinary) numbers to the power of 0 are equal to 1. 180 = 1


How do you do derivatives?

Take the exponent and multiply it by the coefficient (or 1 if there is no coefficient) then subract 1 from the exponent. For example, the derivative of 2x^3 is 6x^2 If there is no exponent, for example, 2x the derivative is 2 because the exponent is actually 1 which produces the same coefficient and the exponent 0 meaning there is no x.


Is 0 to the power of 0 equals 0 a final answer?

Yes, 0 to the power of 0 equals 0 is a final answer.1. The law of exponentiationAll of the nth exponentiation of the same base ahas the same: a base constants.All of the exponentiation of any base a with the same exponent n has the same: n+1 exponent constants.All of the exponentiation an is analized and arranged unique by order and is equal to sums of meaning productsof:every base constant (from number 1, among abase constants, to the last number 1),withevery exponent constant (from number 1, among n+1 exponent constants, to the last number n!).2. The formula of exponentiation lawan =1×1 + (a-1)(2n-1) +…+ (a-1)×0,5[(n+1)!] + 1×n!3. 10000, 100, 20, 10, 00...?10000 According to the law:a=1000 has 1000 base constants (1, 999, ..., 999, 1),n=0 has 1 exponent constant (1), from there:10000=1×1+999×0=1+0=1· 100 According to the law:a=10 has 10 base constants (1, 9, ..., 9, 1),n=0 has 1 exponent constant (1), from there:100=1×1+9×0=1+0=1· 20 According to the law:a=2 has 2 base constants (1, 1), n=0 has 1 exponent constant (1), from there:20=1×1+1×0=1+0=1· 10 According to the law:a=1 has 1 base constant (1), n=1 has 1 exponent constant (1) from there:10=1×1+0×0=1+0=1· 00 According to the law:a=0 has 0 base constant (0), n=0 has 1 exponent constant (1), from there:00=0×1=000 = 0×1 = 0 is a final answer.00 = 1 is not a final answer..........................................................

Related questions

How can you tell if an exponential function is exponential growth or decay by looking at its base?

It is not enough to look at the base. This is because a^x is the same as (1/a)^-x : the key is therefore a combination of the base and the sign of the exponent.0 < base < 1, exponent < 0 : growth0 < base < 1, exponent > 0 : decaybase > 1, exponent < 0 : decaybase > 1, exponent > 0 : growth.


What are the different examples of integral exponents?

... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".


What is the answer to 3with an exponent of 0?

3 to the exponent of 0 is 1. In fact, any non-zero number, raised to the power of 0 is equal to 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 is the zero exponent property?

Any number to the exponent of 0 is equal to 1. EXAMPLE x0=1


Why is 7 to exponent 0 equal to 1?

why not !


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


Why is it that any number raised to the power of zero equals 1?

X0 = Xa-a (a is an integer) Xa-a = Xa / Xa = 1 ... Also: ex. 3^0 = 1 but this is also the same value as : 5^0 = 1 Hence 3^0 = 5^0 = n^0 = 1 If you had 3^2 / 3^2 the result is 1 since any value divided by itself it 1. Hence the base (here it's 3) and the exponent (here it's 2) is essentially eliminated and the result is just 1 as it would be for any other base and exponent. Mathematically, in an expression form you can eliminate (set to 0) the exponent by subtracting the exponents: 3^2 / 3^2 = 1 = 3^(2-2) = 3^0 = 1 = n^0


Why is a number to a negative exponent a fraction?

Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.


What does -3 with an exponent of 0 equals?

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


What does it mean when the exponent is 0?

anything to the 0-ith power is 1


What dose 2986 exponent 0 equal?

It is: 2986^0 = 1