Given,
[tex]x^0=1[/tex]Let
[tex]x^a=b[/tex]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,
[tex]x^0=1[/tex]