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
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Any number raised to the power of zero is just 1.
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.
Anything raised to the power of zero is zero !
When a number is raised to the power of zero, it always equals 1. This is a fundamental property of exponents in mathematics. So, 8 to the power of zero equals 1.
Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.