Govejklp3e

2023-02-18

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

izuzmem5nxc

Beginner2023-02-19Added 4 answers

Therefore, anything raised to the power of 0 divides that number in half. Keep in mind that this rule only applies when power is an integer.

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.

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.