1. The problem asks for the product rule applied to $6^4$. 2. The product rule in exponents states that when multiplying powers with the same base, you add the exponents: $$a^m \times a^n = a^{m+n}$$ 3. However, $6^4$ is a single power, not a product of powers, so the product rule does not directly apply here. 4. If you want to express $6^4$ as a product, it is $6 \times 6 \times 6 \times 6$. 5. Calculating $6^4$ means multiplying 6 by itself 4 times: $$6^4 = 6 \times 6 \times 6 \times 6$$ 6. Calculate step-by-step: $$6 \times 6 = 36$$ $$36 \times 6 = 216$$ $$216 \times 6 = 1296$$ 7. Therefore, the value of $6^4$ is $$1296$$.