Hello all, wondering if you could help me. I am brushing up on math to go back to school, and just looked over a practice test for algebra. The only question I couldn't figure out how to answer was this one:
[Sorry about the formatting. The whole fraction is under the radical here, in case this is ambiguous. I'm willing to make anything look neater if it's explained how.]
For all x>0 and y /=/ 0, which of the following expressions is equivalent to √x^4/ y^5 ?
> A) x^2 √y/y^3
> B) x^2 √y/y^3
> C) x^2/y^3
> D) x^2/ ³√y
> E) x^2 √y
I looked up the answer, and it still doesn't really make sense to me. Like, I know some basics about exponents. Like I think the square root of the exponent is the exponent times 1/2, which would give me x^2/y^(2.5), right? But I can't figure out how to relate that to these options, and clearly have some big gaps in my knowledge here. Any help would be appreciated.
(Again, sorry about the formatting. I know it's hard for me to read that)