Question

square root of xy divided by the 5th root of 32xy. simplify the expression and express the answer using rational exponents. Assume that x and y denote positive numbers.

Answer 1

Factor out 2 as the fifth root of 32 and root xy's cancel to leave half which I suppose you can write as 2^-1 if you must.

Answer 2

so thats the final answer

Answer 3

2^-1

Answer 4

Well that's how I would express the answer using an exponent (although I can't see why you wouldn't just say 1/2 and be done with it).

Answer 5

I guess they must be just trying to get you used to the idea that there are two ways of writing the things (sometimes the exponent form is simpler to work with).