The easiest way to see this is to consider what happens when you have a base raised to an exponent and divide it by that base. Consider:
x10 / x = x9
x9 / x = x8
Or more generically:
xn / x = xn - 1
Logically then, we can extend this all the way down to one:
x1 / x = x0
And what is x1 / x? That's simply x/x of course, so we have:
x0 = x/x
x0 = 1
So with the exception of zero, anything to the power of zero is equal to one. A base of zero is an exception here. Using the same logic consider what it would mean:
00 = 01/0
That would give us zero divided by zero, which is undefined, hence the 00 being undefined as well.
one.
By definition, any number raised to the zero power is "one".
Any number to the power of zero equals one.
No. All real numbers, when raised to the power zero, are equal to 1. Even zero to the zero is equal to 1.
Any number raised to the power zero is equal to one. (However, 00 isn't defined.)
x to the power a divided by x to the power b is x to the power (a - b) When a and b are equal then this is x to the power a divided by x to the power a, ie 1. x to the power (a - a) = x to the power zero. Things which are equal to the same thing are equal to each other, so 1 = x to the power zero.
one.
By definition, any number raised to the zero power is "one".
Any number to the power of zero equals one.
Any nonzero number raised to the power of zero is equal to one (1).By definition.
No. All real numbers, when raised to the power zero, are equal to 1. Even zero to the zero is equal to 1.
Anything raised to the power of zero is zero !
Any Non-zero number, raised to the zero-power is equal to one (1). Zero raised to the zero power is not defined, but can converge towards a limit, for certain functions.
Any number raised to the power zero is equal to one. (However, 00 isn't defined.)
Any number to the power zero equals 1. A possible exception is zero to the power zero. Some people claim it is equal to zero, others say it equals one, consistent with any other value. Still more say that the result of zero to the power zero is an undefined value. With the possible exception of zero, the statement above holds true for any value.
1. Any number to the power of zero is equal to one.
Anything (except zero) raised to the power zero is equal to one.