Answer: [tex]\bold{\sqrt[4]{2} }[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{2}\sqrt[4]{32} =\dfrac{1}{2}\sqrt[4]{2\cdot 2\cdot 2\cdot 2\cdot 2}=\dfrac{1}{2}\cdot 2\sqrt[4]{2}=\boxed{\sqrt[4]{2} }[/tex]