1. **State the problem:** Simplify or analyze the expression $$5a^2 - 5^5 a - 6^p$$ where $a$ and $p$ are variables. 2. **Understand the terms:** - The first term is $5a^2$, which is $5$ times $a$ squared. - The second term is $5^5 a$, which means $5$ raised to the power $5$, multiplied by $a$. - The third term is $6^p$, which is $6$ raised to the power $p$. 3. **Calculate $5^5$:** $$5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125$$ 4. **Rewrite the expression:** $$5a^2 - 3125a - 6^p$$ 5. **Interpretation:** - This is a quadratic expression in terms of $a$ with a constant term involving $6^p$. - Without specific values for $a$ or $p$, this is the simplified form. **Final simplified expression:** $$5a^2 - 3125a - 6^p$$