Which expression is equivalent to

Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]