For this case we must indicate an expression equivalent to:
[tex](x ^ {\frac {1} {4}} * y ^ {16}) ^ {\frac {1} {2}}[/tex]
By definition of power properties we have:
[tex](a ^ m) ^ n = a ^ {m * n}[/tex]
We can rewrite the expression as:
[tex]((x ^ {\frac {1} {4}}) ^ {\frac {1} {2}}) * ((y ^ {16}) ^ {\frac {1} {2}}) =\\x ^ {\frac {1} {8}} * y ^ 8[/tex]
Answer:
[tex]x ^ {\frac {1} {8}} * y ^ 8[/tex]
