simplify the expression

(the 7th root of 11x/y^6)(the 7th root of y^6/11x^8)

the root is over the whole fraction in both cases.

I've already done the problem once and got x(the 7th root of 1/x). which apparently this is wrong.

2 answers

when multiplying roots, take the root of the product. You then have

7throot( (11x/y^6) * (y^6/11x^8) )
= 7throot(1/x^7)
= 1/x

It would help if you showed your work...
thanks next time i'll show my work. you've been a big help.