## anonymous 5 years ago Need to simplify square root of s/s^2. Answer is s-3/2 but don't know how they got it! Can someone help?

1. anonymous

you mean sqrt(1/s) = s - (3/2) ?

2. anonymous

$\sqrt{s}\div s ^{2}$

3. nowhereman

Assuming s is in the correct domain: $\frac{\sqrt{s}}{s^2} = s^{\frac{1}{2}}\cdot s^{-2} = s^{-\frac{3}{2}}$

4. mathteacher1729

$$\sqrt{x}=x^{1/2}$$ Also $$\frac{x^a}{x^b}=x^{a-b}$$ So putting those together... $\frac{\sqrt{x}}{x^2}=\frac{x^{1/2}}{x^2}=x^{1/2 - 2}=x^{-3/2}$ Hope this helps. :)

5. anonymous

I thought you subtracted the exponents when they were in the "divided by" form! No?

6. nowhereman

You do, I just wrote it in a different form.

7. anonymous

Ok! I see now! I do! Thanks a bunch guys!!! thanks so much!