1. We are given the equation $$8^{2p+1} = 8^{5p+3}$$ and asked to find the value of $p$. 2. Since the bases are the same (base 8) and the equation is equal, the exponents must be equal: $$2p + 1 = 5p + 3$$ 3. Solve for $p$ by isolating the variable: $$2p + 1 = 5p + 3$$ $$1 - 3 = 5p - 2p$$ $$-2 = 3p$$ $$p = \frac{-2}{3}$$ 4. Thus the solution is: $$p = -\frac{2}{3}$$ 5. Looking at the answer choices, the correct one is $p = -2/3$.