Answer:
Option 2: [tex]x^{\frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}}[/tex]
Simplify:
[tex]\frac{x^{3\times \frac{1}{4}}}{x^{\frac{1}{12}} }[/tex]
Multiply:
[tex]\frac{x^{\frac{3}{4}}}{x^{\frac{1}{12}}}[/tex]
Subtract the exponents:
[tex]x^{\frac{3}{4}-\frac{1}{12}}=x^{\frac{2}{3}}[/tex]
