1. **State the problem:** Simplify the expression $7^6 \times 7^4$. 2. **Formula used:** When multiplying powers with the same base, use the rule: $$a^m \times a^n = a^{m+n}$$ where $a$ is the base and $m$, $n$ are the exponents. 3. **Apply the rule:** Here, the base is 7, and the exponents are 6 and 4. $$7^6 \times 7^4 = 7^{6+4}$$ 4. **Simplify the exponent:** $$7^{6+4} = 7^{10}$$ 5. **Final answer:** $$7^6 \times 7^4 = 7^{10}$$ This means you multiply 7 by itself 10 times.