Question

Honors Question. Explain why x^0=1.

Answer 1

Given,

`x^0=1`

Let

`x^a=b`

where, x,a and b are numbers.

The statement means that when x is multiplied by itself a times, the answer is b.

So, x^0 means that x is multiplied by itself zero times. Multiplying by zero times implies that no factors are multiplied together.

In mathematics, multiplying a number by nothing is the same as multipying the number by 1. Therefore,

`x^0=1`