Question

Why is everything 1 when raised to the 0th power?

Answer 1

yeah dang i have no idea. great question tho

Answer 2

Explanation:

Use the laws of exponents, specifically the law for division.

When dividing, the exponents are subtracted.

For example,
`(x^(8) )/(x^(2) )=x^(8-2) =x^(6)`

Now let's do an example where the exponent will equal zero.

`(5^(2) )/(5^(2) ) = 5^(2-2)=5^0=1`

Now let's see why this equals 1. If you actually solve
`5^2` it equals 25. So, let's solve the numerator and denominator and simplify.

`(5^(2) )/(5^(2) ) = (25)/(25) =1`

As you can see, an exponent of 0 represents having the same number in the numerator and denominator, which when solved it equals 1.