Answer:
[tex]x^{\frac{2}{3} }[/tex]
Step-by-step explanation:
Exponent Rules: [tex](b^m)^n = b^{mn}[/tex]
Exponent Rules: [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
Step 1: Write expression
[tex]\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}[/tex]
Step 2: Rewrite radical
[tex]\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}[/tex]
Step 3: Multiply powers (numerator)
[tex]\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}[/tex]
Step 4: Subtract powers
[tex]x^{\frac{2}{3} }[/tex]
