Are all numbers to the 0 exponent 1?

Question

Does this include negatives like (-9)^0
wouldnt it be -1
if its just 1 how can it be the same as (9)^0 if they are opposites.
I dont understand the 0 exponent at all!!

Answer 1

Yes it works with negatives as well. It works with any non zero number. The best explanation can be found at the following source...

Answer 2

No. Remember that an exponent does not have to be integral. So if you have sqrt(-9), this is considered an imaginary number 3i. But (-9)^[1/4] is +9. So in the limit, there is no determinate value for -9^0.

Answer 3

Any non-zero number to the power of 0 is defined to be 1. 0 to the power of 0 is a special case, which is sometimes considered undefined and and sometimes taken to be 1.

Best just to memorize rather than try to understand the underlying logic.

Answer 4

Every number elevated to the 0 power is = to 1.

A number elevated to the negative 1 (-1) is 1/a

"a" stands for the coefficient. So

1/a = a^1


hope it helps

Answer 5

Yes for ex:
8^0=1
Any number raised to the zero power is one.
Hope that helps!

Answer 6

any and all numbers to the 0th power is 1. It is just a given.