1. **State the problem:** Simplify the expression $$\frac{10p^4}{6p^2}$$. 2. **Recall the rules:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Simplify the coefficients:** $$\frac{10}{6} = \frac{\cancel{2} \times 5}{\cancel{2} \times 3} = \frac{5}{3}$$. 4. **Simplify the powers of $p$:** $$\frac{p^4}{p^2} = p^{4-2} = p^2$$. 5. **Combine the simplified parts:** $$\frac{10p^4}{6p^2} = \frac{5}{3} p^2 = \frac{5p^2}{3}$$. **Final answer:** $$\frac{5p^2}{3}$$