Hey everyone, I am typically very good at math; however, I have always struggled with fractions. I am currently reviewing pre-calculus so that I can test out of pre-calc for my accounting degree. I have a problem on my review work that I have been attempting to solve and just cannot get it.... I am really hoping someone could walk me through this... Thanks in advance!

(49x^{-2}y^{4})^{-1/2}(xy^{1/2})

I can get to what I'm 99% sure is the next step...

[x√(y)]

[√(49) √(x^{-2}) √(y^{4})]

Followed by... (which I'm not as sure is correct)

x √(y)

7 √(x^{-2}) y^{2}

And this is where I get stuck... I'm not sure what to do with the negative exponent in the denominator... If someone could explain the next step for me, I would greatly appreciate it.