Question 286368
Recall that {{{root(n,x^m)=(x^m)^(1/n)}}}. So {{{root(3,x^5y^5)=(x^5y^5)^(1/3)^""}}}


You could go one step further and multiply the exponents to get {{{root(3,x^5y^5)=(x^5y^5)^(1/3)^""=x^(5/3)y^(5/3)^""}}}



On the other hand, you can pull all of the exponents out to get {{{root(3,x^5y^5)=(x^5y^5)^(1/3)^""=((xy)^5)^(1/3)=(xy)^(5/3)^""}}}


Either way, they're all equivalent. It'll just depend on what you're book or teacher is looking for.