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Q: If n n is 1 then 0 0 is equal to what and why?
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What is 2 to the zero equal to?

Any number to the power 0 is 1. Because 1 = x^n/x^n = x^(n-n) = x^0


How to solve why any number raise to 0 is equal to 1?

Let n be any number and n/n = 1 and n1/n1 = n1-1 which is n0 that must equal 1


Which fraction is equal to 0?

The primary answer is 0/1. However, you can multiply the numerator and denominator of the primary answer by any non-zero integer to obtain an equivalent fraction. If the selected integer is n, the equivalent fraction will be (0*n)/(1/n) = 0/n. Thus any number of the form 0/n is a fraction equivalent to 0.


How is 0 factorial equals 1?

The simple answer is that it is defined to be 1. But there is reason behind the decision.As you know, the factorial of a number (n) is equal to:n! = n * (n-1) * (n-2) ... * 1Another way of writing this is:n! = n * (n-1)!Suppose n=1:1! = 1 * 0!or1 = 1 * 0!or1 = 0!So by defining 0! as 1, formula involving factorials will work for all integers, including 0.


Why when you have a nonzero number and its exponent is 0 why is the number equal to 1?

x0 = x(n -n), which is equal to xn/xn by the law of powers. This obvoiusly = 1


What does a number to the power of zero equal?

Any number to the power '0' equals '1'. Proof ; Let a^(n) = b Then dividing a^(n) / a^(n) = b/b a^(n-n) = b/b a^(0) = 1


What does an equal in geometric series?

Geometric series may be defined in terms of the common ratio, r, and either the zeroth term, a(0), or the first term, a(1).Accordingly,a(n) = a(0) * r^n ora(n) = a(1) * r^(n-1)


What is the imaginary number i to the 0 power equal to?

This is equal to 1. On the Wikipedia page for imaginary numbers, they have a table, but here is a summary for in: n value of i^n -- ------ -4, 1 -3, i -2, -1 -1, -i 0, 1 1, i 2, -1 3, -i 4, 1 Notice there is a repeating pattern.


What is the factorial of 0?

A recursive formula for the factorial is n! = n(n - 1)!. Rearranging gives (n - 1)! = n!/n, Substituting 'n - 1' as 0 -- i.e. n = 1 -- then 0! = 1!/1, which is 1/1 = 1.


Why factorial of 0 equals 1?

Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.


What is the proof of 0 factorial equals 1?

Well, 0! (the mathematical sign for "factora") is actually 0 itself. ... So that leads us to the question "Is 1 equal to 0?" Although many people have tried to make proof that this is true, it's not. The only way that I can disprove this is that 0+0=0, and 1+1=2. If 0 really did equal 1, then it would also equal 2 (1+1). With that being said, all numbers would then equal 0. So this pattern would include numbers like pi, 5.7892, 0.75, and every other decimal. HOWEVER, this is NOT possible because, for example, 0.75 (which supposedly equals 0) can be converted to the fraction 3/4. Any fraction just simply means *numerator* divided by *denominator*. So, if 0=3&4, the fraction is really 0/0 (which means 0 divided by 0). It is absolutley IMPOSSIBLE to divide by zero. So, no. 0! does not equal 1.


What property states that a number divided by itself is equal to 1?

Properties of Division: n/n =1, If n ≠ 0. Any number other than zero divided by itself is one.