Why any number raised to power 0 equals to 1 explained.

First, it is wrong to say any number raised to power 0 is 1. Why? Because it's not just any number, there is absolutely an exception. Yes, 0 (zero). So the right statement should always be;

Any non-zero number/expression raised to power 0 equals to 1.

Answer 👇

Any non-zero expression raised to the power of zero is equal to 1 because of the definition of exponentiation. Exponentiation is a mathematical operation that represents repeated multiplication of the same number, called the base. The number of times the base is multiplied by itself is called the exponent.

For example, the expression "2 to the power of 3" is written as "2^3" and means 222 = 8. The base is 2 and the exponent is 3.

When an exponent is zero, it means that the base is multiplied by itself zero times. This results in a value of 1, because any number multiplied by itself zero times is equal to 1.

So, for any non-zero expression "x" raised to the power of zero, the result is always 1. This is written as "x^0" and is equal to 1.

For example:

2^0 = 1

3^0 = 1

4^0 = 1

This rule applies to all non-zero real numbers, as well as complex numbers and other mathematical objects. It is a basic property of exponentiation that is used in many areas of mathematics and science.