For this case we have that by definition of properties of powers and roots, it is fulfilled that:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}[/tex]
So, we have to:
[tex]\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}[/tex]
Answer:
[tex]9 ^ {\frac {1} {8} x}[/tex]
Option B
