ANSWERS: 12
  • i dont see what u r saying. could u write it in an equation. it doesnt make sense to me.
  • I think the logic has to involve something stronger than the prescription my doctor gave me.
  • i thought it was 0 cuz if you times something by nothing then there is nothing
  • Any number times 0 = 0, not 1. If you times any number by 1 then it will equal the same number. a x 0 = 0 a x 1 = a (eg 3 x 0 = 0) (eg 3 x 1 = 3)
  • x^0=1 How?
  • no, it's zero
  • it's not multiplied by itself if it is multiplied 0 times. It's not multiplied at all. a number multiplied by itself equals another number, unless it is one.
  • "Exponents one and zero: Notice that 3^1 is the product of only one 3, which is evidently 3. Also note that 3^5 = 3·3^4. Also 3^4 = 3·3^3. Continuing this trend, we should have 3^1 = 3·3^0. Another way of saying this is that when n, m, and n − m are positive (and if x is not equal to zero), one can see by counting the number of occurrences of x that (x^n)/(x^m) = x^(n-m) Extended to the case that n and m are equal, the equation would read 1 = (x^n)/(x^n) = x^(n-n) = x^0 since both the numerator and the denominator are equal. Therefore we take this as the definition of x^0. Therefore we define 3^0 = 1 so that the above equality holds. This leads to the following rule: Any number to the power 1 is itself. Any nonzero number to the power 0 is 1; one interpretation of these powers is as empty products. The case of 0^0 is discussed below." Source and further information: http://en.wikipedia.org/wiki/Exponentiation Further information: http://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_zero_power
  • the best way to explain it is with numbers. For example 12 x __ =12 the answer would be 1. its anther way to say X = 12/12 which equals 1.
  • the reason is that this definition is the only on that conserves the laws of powers. the truth of this cannot be understood by thinking of X^0 as "x times itself zero times" because you cannot multiply zero times. such a statement has no meaning. . rather, this definition is based on the fact that (X^a)*(X^b)=X^(a+b) . based on this, and the fact that (X^0)*(X^b)=X^(b) . one arrives to the conclusion that (X^0)=1
  • This is a limiting case. Let's say x=4 Then x^(1/2) = 2 Similarly x^(1/4) = 1.414... and x^(1/8) = 1.189 and x^ (1/100) = 1.014 and x^ (1/1000) = 1.0013 As the exponent gets closer and closer to zero, the quantity X^(very small number) gets closer and closer to 1. Thus X^0 = 1
  • Actually, your statement is not true since 0^0 is undefined. The way I usually explain it is from the division rule of exponents: (a^m)/(a^n)=a^(m-n). If you know this rule then obviously you want, e.g.,(a^3)/(a^3)=1 (except when a=0); but, by the rule, (a^3)/(a^3)=a^(3-3)=a^0: thus, you define a^0=1, except when a=0.

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