First it would be helpful to remove the radicals found in the numerator and denominator. We can do this by the property [tex] \sqrt[n]{x^m} = x^{\frac{m}{n}} [/tex].
This means that our fraction now becomes:
[tex] \dfrac{x^{\frac{3}{4}}}{x^{\frac{2}{3}}} [/tex]
Now, we can subtract the exponents of [tex] x [/tex] because of the fact that the numerator and denominator both have a base of [tex] x [/tex]:
[tex] x^{\frac{3}{4} - \frac{2}{3}} [/tex]
[tex] x^{\frac{1}{12}} [/tex]
Our answer is [tex] \boxed{x^{\frac{1}{12}}} [/tex].
