Answer
$\dfrac{1}{x^{\frac{5}{12}}}$
Work Step by Step
Use the rule $\dfrac{a^m}{a^n} = a^{m-n}$ to obtain:
$=x^{\frac{1}{3} - \frac{3}{4}}$
Make the fraction similar using their LCD of 12 to obtain:
$=x^{\frac{4}{12} - \frac{9}{12}}
\\=x^{\frac{4-9}{12}}
\\=x^{\frac{-5}{12}}$
Use the rule $a^{-m} = \dfrac{1}{a^m}$ to obtain:
$=\dfrac{1}{x^{\frac{5}{12}}}$
