assuming you want to simplify
your question looks like this: \(\sqrt[8y]{ x^{16} }\)
remember the exponential law that says
\(x^{ \frac{m}{n} }= \sqrt[n]{ x^{m} }\) so therefor
\(\sqrt[8]{ 8y^{16} }\) = \(8y^{ \frac{16}{8} }\)
simplify the fraction
16/8=2/1=2
\(8y^{ \frac{16}{8} }\)=\(8y^{2}\)
