Answer: The correct option is B.
Explanation:
The given expression is,
[tex]\sqrt[4]{9^{\frac{1}{2}}}x[/tex]
Use the property of radical expression [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex].
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x[/tex]
Use the property, [tex](x^m)^n=x^{mn}[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x[/tex]
Therefore, the correct option is B.
