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