Why does 6 to the 0 power equal 1?

Question

Exponents

Answer 1

Nice try bow.kitty. Wow you guys are no help at all. I would say that makes this a very good question since it has stumped so many.

6^3=216
6^2=36
6^1=6
6^0=1
Look at the progression: 216, 36, 6, 1. What rule gets you that progression? Dividing by the base each time. That's basically why.
It even progresses to negatives:
6^ (-1)= .166666
6^ (-2)= .027777
216, 36, 6, 1, .16666, .027777, .....and on and on

Answer 2

Anything to the power of 0 equals 1

Answer 3

Anything (besides zero) to the zero power = 1 because raising something to the zero power is the same thing as dividing a number by itself. For example 2^x/2^x is equal to 1 because you're dividing it by itself and by the rules of exponents it is also equal to 2^(x-x) (when you divide you subtract the exponents) and x-x = 0

Answer 4

Follow the pattern. I use 6^3 to mean "Six to the third power." The slash " / " means divide.

6 ^ 3 = 6 x 6 x 6.
(6 ^ 3) / 6 = (6 ^ 2) = 6 x 6
(6 ^ 2) / 6 = (6 ^ 1) = 6

Notice how when I divide by 6, the power goes down by one?

(6 ^ 1) / 6 = (6 ^ 0) which is the same as 1.

In fact any number (except zero) to the zero power is one.

Answer 5

6^0 = 6^1/6^1 = 1
Any number to the power of 0 = 1, exept 0^0 is undefined

Answer 6

Well 6^0 is like 6^1 / 6^1, and any number divided by itself is 1.

Answer 7

It's just a rule of math. Anything raised to the 0 power = 1.

Answer 8

every number raised to the 0 power is equal to 1

Answer 9

one basic rule is a^0 = 1 (if a is not zero)

so 6^0 =1

Answer 10

I know that any number to the zero power = 1