Answer
$8x^{\frac{5}{12}}$
Work Step by Step
$$\frac{72x^{\frac{3}{4}}}{9x^{\frac{1}{3}}}$$
When two rational expressions with the same base are divided, subtract the exponents.
$$=(\frac{72}{9})(x^{(\frac{3}{4} - \frac{1}{3})})$$
When subtracting fractions, you need a common denominator, in this case, 12:
$$=8x^{(\frac{9}{12} - \frac{4}{12})}$$ $$=8x^{\frac{5}{12}}$$
