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The best way to understand this is by observing the following pattern.
x^4=(x)(x)(x)(x)
Now divide both sides by x to get
x^3=(x)(x)(x)
Divide both sides by x again to get
x^2=(x)(x)
Again
x^1=(x)
Again
x^0=1
Hopefully seeing this pattern will at least help you understand why x^0=1. However the real reason is that mathematicians have agreed that this is the best way.
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Why any number raised to power zero is 1?
This derives from one of the laws of indices which states that, for any x (not = 0), xa * xb = xa+b Put b = 0 Then xa * x0 = xa+0 = xa (because a + 0 = a) But that means that x0 is the multiplicative identity. And since that is unique, and equal to 1, x0 = 1. This is true for all x. Put
The measure of the supplement of an angle exceeds twice the measure of the supplement of the complemant of the angle by 40?
The answer is -13 1/3ohere is the detailed calculation for the problem:Let x0 be the angle, then;(180 - x0) - 2[180 - (90 - x0)] =40(180 -x0) - 2[90+x0]=40180 -x0 - 180 - 2x0=40-3x0=40hencex0= -13 1/3oAny comments are welcome
How can you find an equation line between two pair of points?
Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
What is X to the power of 0?
If x <> 0 (not equal to), then x0 = 1, where x is any number other than a zero. zero to whatever power is still a zero. =============================
What causes the graph of a rational function to have a vertical asymptote?
When your input variable causes your denominator to equal zero. * * * * * A rational function of a variable, x is of the form f(x)/g(x), the ratio of two functions of x. Suppose g(x) has a zero at x = x0. That is, g(x0) = 0. If f(x0) is not also equal to 0 then at x = x0 the rational function would involve division by 0. But division by 0 is not defined. Depending on whether the signs of f(x) and g(x) are the same or different, as x approaches x0 the ratio become increasingly large, or small. These "infinitely" large or small values are the asymptotes of the rational function at x = x0. If f(x0) = 0, you may or may not have an asymptote - depending on the first derivatives of the two functions.
When x0 how many solutions is this?
x0 = 1 because any number raised to the power of 0 is always equal to 1
What is 1 over x0 equal?
x^0 = 1 1/1 = 1
What is the zero exponent property?
Any number to the exponent of 0 is equal to 1. EXAMPLE x0=1
Why is 10 power 0 equal to 1?
Any number to the power zero is equal to one. That can be derived from the following index law: xa*xb = xa+b (x not zero) Now let b = 0 so that the above becomes xa*x0 = xa+0 so xa*x0 = xa (since a+0 = a) That is, any number multiplied by x0 is the number itself. That can be true only if x0 is the multiplicative identity, that is, only if x0 = 1.
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
Why does a number with a 0 expont euqal 0?
In fact, a non-zero number with an exponent of 0 is always equal to 1. This can be explained with a simple example. Let x = 2. x2=4 x2=4 Thus it follows: x2 / x2 = x0 And thus: x0 = 4 / 4 4 / 4 = 1 Therefore x0=1.
Why any number raised to power zero is 1?
This derives from one of the laws of indices which states that, for any x (not = 0), xa * xb = xa+b Put b = 0 Then xa * x0 = xa+0 = xa (because a + 0 = a) But that means that x0 is the multiplicative identity. And since that is unique, and equal to 1, x0 = 1. This is true for all x. Put
Why a number to the zero power is always equal to 1?
It is a consequence of the definition of the index laws. xa * xb = xa+b If you put b = 0 in the above equation, then you get xa * x0 = xa+0 But a+0 = a so that the right hand side becomes xa Thus the equation now reads xa * x0 = xa For that to be true for all x, x0 must be the identity element for multiplication. That is x0 = 1 for all x.
The measure of the supplement of an angle exceeds twice the measure of the supplement of the complemant of the angle by 40?
The answer is -13 1/3ohere is the detailed calculation for the problem:Let x0 be the angle, then;(180 - x0) - 2[180 - (90 - x0)] =40(180 -x0) - 2[90+x0]=40180 -x0 - 180 - 2x0=40-3x0=40hencex0= -13 1/3oAny comments are welcome
How the results of 0x1 2-1 x0?
In order to get the results of 0x1*2-1*x0 you will have to do a little math. The answer to this math problem is X equals one.
Why does a number that is raised to the power of zero equal one?
Long story short- x2 / x = x , x3 / x = x2 , so x1 /x = x0 , and any whole number besides zero divided by itself is equal to one, therefore x0 is equal to one.
What is X to the 0 power over x to the -5 power?
5
