Question

Explain why “x” to the power of “0” equals 1, where “x” is any non-zero rational number.

Answer 1

Answer: For example, suppose we use 2 as a subsitute for x,

If
`(2)/(2) =1`

Then
`(2^1)/(2^1)=1`

`2^(1-1) =1`

`2^(0)=1`

Therefore any number or pronumeral, (including x) to the power of 0 equals 1.