1. **State the problem:** Simplify the expression $$(-6)^5 \times (-6)^4 \div (-6)^7$$ and express the answer as an integer. 2. **Recall the exponent rules:** When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$. When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply multiplication rule:** $$(-6)^5 \times (-6)^4 = (-6)^{5+4} = (-6)^9$$ 4. **Apply division rule:** $$\frac{(-6)^9}{(-6)^7} = (-6)^{9-7} = (-6)^2$$ 5. **Calculate the final value:** $$(-6)^2 = (-6) \times (-6) = 36$$ **Final answer:** $$36$$