Question 517078
Please help me solve this: 
There's nothing to solve. Equations are solved, this is not one.
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Multiply and simplify by factoring.  Assume that all expressions under radicals represent non negative numbers.
It can be simplified.
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^3sqrt(y^7)^3sqrt(16y^8)
Do you mean cube roots?  If so,
{{{root(3,y^7)*root(3,16y^8) = root(3,16y^15)}}}
= {{{root(3,2)*root(3,8y^15)}}}
= {{{2y^5*root(3,2)}}}