()) Divide. Simplify your answer. \( \frac{7 q^{2}}{6 p^{2}} \div 15 p^{2} q \)

To simplify the expression \( \frac{7 q^{2}}{6 p^{2}} \div 15 p^{2} q \), you first rewrite the division as multiplication by the reciprocal: \[ \frac{7 q^{2}}{6 p^{2}} \times \frac{1}{15 p^{2} q} \] Next, you multiply the numerators (top parts) and the denominators (bottom parts) together: \[ \frac{7 q^{2} \cdot 1}{6 p^{2} \cdot 15 p^{2} q} = \frac{7 q^{2}}{90 p^{4} q} \] Now simplify by canceling \( q \) from the numerator and the denominator: \[ \frac{7 q^{1}}{90 p^{4}} = \frac{7 q}{90 p^{4}} \] So, the simplified answer is: \(\frac{7 q}{90 p^4}\)