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?

Answer 1

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

Answer 2

\[\sqrt{s}\div s ^{2}\]

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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