14. \( \frac{9}{64}=p^{2} \)

To solve for \( p \), take the square root of both sides. This gives you \( p = \sqrt{\frac{9}{64}} \), which simplifies to \( p = \frac{\sqrt{9}}{\sqrt{64}} = \frac{3}{8} \). So the solution is \( p = \frac{3}{8} \) or \( p = -\frac{3}{8} \), since squaring negative values also yields a positive result. Remember that when dealing with equations involving squares, it's important to check for both the positive and negative roots when you extract the square root! This ensures you find all possible solutions, especially in scenarios dealing with real-world measurements or geometry where direction might matter.