- #1

hackedagainanda

- 52

- 11

- Homework Statement
- What does 9^(1/2) = to?

- Relevant Equations
- 9^`1 = 9

9^0 = 1

(x^a)(x^b)= x^a+b)

So I got the answer through a little addition i.e 9^(1/2) multiplied by 9^(1/2) = 9^1 or 9

3 x 3 = 9 so 3 is the answer to what is 9^(1/2)

I've tested this out with a few other numbers and have made this generalization, x^(1/2) = √x

It seems to make the equations orderly and consistent but is it by definition or is there a reason why raising it to a fractional exponent gives you this answer. I'm trying to not just memorize this rule, so I can get a better intuitive grasp on how the algebra works.

3 x 3 = 9 so 3 is the answer to what is 9^(1/2)

I've tested this out with a few other numbers and have made this generalization, x^(1/2) = √x

It seems to make the equations orderly and consistent but is it by definition or is there a reason why raising it to a fractional exponent gives you this answer. I'm trying to not just memorize this rule, so I can get a better intuitive grasp on how the algebra works.