1. **State the problem:** Simplify the expression $$a^{-13} \div a^{-6}$$ and rewrite it in the form $$a^n$$. 2. **Recall the rule for dividing powers with the same base:** When dividing powers with the same base, subtract the exponents: $$a^m \div a^n = a^{m-n}$$ 3. **Apply the rule:** $$a^{-13} \div a^{-6} = a^{-13 - (-6)} = a^{-13 + 6}$$ 4. **Simplify the exponent:** $$-13 + 6 = -7$$ 5. **Final answer:** $$a^{-7}$$ This is the simplified form of the expression in the form $$a^n$$.