# Ratinal Exponents

• Sep 12th 2009, 06:30 AM
abc10
Ratinal Exponents
Hey, whats up guys? New here,

Alright how would I write this as an expoent?

$\displaystyle [squareroot]3x^5$

Seems like it might be simple for some of you but I can't figure it out, the answers telling me 3^1/2X5/2

Im stumped. And yeah, move it if its in the wrong section. Thanks guys
• Sep 12th 2009, 06:41 AM
Quote:

Originally Posted by abc10
Hey, whats up guys? New here,

Alright how would I write this as an expoent?

$\displaystyle [squareroot]3x^5$

Seems like it might be simple for some of you but I can't figure it out, the answers telling me 3^1/2X5/2

Im stumped. And yeah, move it if its in the wrong section. Thanks guys

$\displaystyle \sqrt{3x^5}=\sqrt{3}\times\sqrt{x^5}$

Then remember that $\displaystyle (\sqrt[a]{3})^b=3^{\frac{b}{a}}$
• Sep 13th 2009, 07:22 AM
abc10
okey dokey....thanks a lot

whats -9^.5

My calculator tells me error 2 (lol) the answers are telling me -3...how do I attack this queston?
• Sep 13th 2009, 07:40 AM
Quote:

Originally Posted by abc10
okey dokey....thanks a lot

whats -9^.5

My calculator tells me error 2 (lol) the answers are telling me -3...how do I attack this queston?

DO notice that $\displaystyle (-9)^{0.5}$ and $\displaystyle -9^{0.5}$ are totally 2 different thing . Brackets play a very important role .

So $\displaystyle (-9)^{0.5}$ is undefined because you cant square root a negative number .

$\displaystyle -9^{0.5}$ will give you $\displaystyle -3$ .