questions on the picture

Answer:
x^1/4
Step-by-step explanation:
[tex]\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}=x^{\frac{1}{2}-\frac{1}{4}}\\\\\mathrm{Simplify}\:x^{\frac{1}{2}-\frac{1}{4}}:\\\\\quad x^{\frac{1}{4}}[/tex]