expression is equivalent to [tex](x^{\frac{1}{4}} y^{16})^{\frac{1}{2}}[/tex]
We apply exponential property
Multiply the outside exponent 1/2 with exponents inside the parenthesis
[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]
1/4 times 1/2 is 1/8
16 times 1/2 is 8
so expression becomes
[tex](x^{\frac{1}{8}} y^{8})[/tex]
So the answer is
[tex](x^{\frac{1}{8}} y^{8})[/tex]
