Question

Why x raise to the power 0 is equal to 1?

Answer 1

• So anything raise to the power 0 is actually dividing that number by itself. Remember this rule is applicable when power is an integer value.
• It basically means you stay single (1) if you don't multiply (x^0).

• It is commonly taught that any number to the zero power is 1, and zero to any power is 0. But if that isthe case, what is zero to the zero power? Well, it isundefined (since xy as a function of 2 variables isnot continuous at the origin).

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.


We can write X^0 as X^[1-1] which can also be written as X^1 × X^(-1) ; which is equals to X^1 ÷ X^1 and everyone can solve further that X÷X=1
That's why (Any Number) ^ 0 = 1