1. ## simplify radicals with exponents

I had a real hard time with this problem and ended up getting it wrong, can someone point me in the right direction on how to solve it?

(√y^5)/(3^√y^7)

(note, by 3^√ I mean y^7 cubed)

The answer should have been: 6^√y

Attached an image to help make my question more clear.

Thanks for any help offered!

2. What you have written is pretty much non-sense. Your 'clarification', "note, by 3^√ I mean y^7 cubed" just makes things worse (and your image does not show up). I suspect you meant "cube root", not "cubed". $\sqrt[3]{y^7}= y^{7/3}$ and $\sqrt{y^5}= y^{5/2}$.

$\frac{\sqrt{y^5}}{\sqrt[3]{y^7}}= \frac{y^{5/2}}{y^{7/3}}= y^{5/2- 7/3}= y^{1/6}= \sqrt[6]{y}$.

3. I'm not sure why the image does not show, I can see it as an attached image, but yes, I meant cubed root. I was getting frustrated on making [tex] work with root equations, but now I see how to do that too. Much easier than expected, not sure how I overlooked that, thank you for your help!