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?

Question

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?

anonymous · Answer

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

anonymous · Answer

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

nowhereman · Answer

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

mathteacher1729 · Answer

$\sqrt{x}=x^{1/2}$ 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. :)

anonymous · Answer

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

nowhereman · Answer

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

anonymous · Answer

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