Simplify the Expression: 6^x × 6^a × 6^b Using Exponent Rules

To solve this problem, we'll simplify the given equation using the rules of exponents:

• Identify that all terms in the product $6^x \times 6^a \times 6^b$ have the same base, which is 6.
• Apply the exponent multiplication rule: When multiplying powers with the same base, we add the exponents together. Therefore, the expression becomes $6^{x+a+b}$.

By applying this exponent rule, we determine that the simplified expression is $6^{x+a+b}$.

Therefore, the solution to the problem is $6^{x+a+b}$.