1. **State the problem:** Simplify the expression $j^{-13} \cdot j^{4} \cdot j^{6}$. 2. **Recall the rule for multiplying powers with the same base:** $$a^{m} \cdot a^{n} = a^{m+n}$$ This means when multiplying powers with the same base, you add the exponents. 3. **Apply the rule:** $$j^{-13} \cdot j^{4} \cdot j^{6} = j^{-13 + 4 + 6}$$ 4. **Simplify the exponent:** $$-13 + 4 + 6 = -13 + 10 = -3$$ So, $$j^{-13} \cdot j^{4} \cdot j^{6} = j^{-3}$$ 5. **Final answer:** $$\boxed{j^{-3}}$$ This is the simplified form of the expression.