Answer
$\dfrac{(3x^{1/4})^{3}}{x^{1/12}}=27x^{2/3}$
Work Step by Step
$\dfrac{(3x^{1/4})^{3}}{x^{1/12}}$
Evaluate the power indicated in the numerator:
$\dfrac{(3x^{1/4})^{3}}{x^{1/12}}=\dfrac{27x^{3/4}}{x^{1/12}}=...$
Do the division:
$27x^{3/4-1/12}=27x^{2/3}$