Final answer:
The product of the sequence 6 x 8 x 8 x 6 x 8 x 8 x 6 is calculated by finding the cube of 6 and the fourth power of 8, then multiplying these results to get 884,736.
Step-by-step explanation:
The question asks us to calculate the product of a series of numbers: 6 x 8 x 8 x 6 x 8 x 8 x 6. To solve this, we multiply these numbers step-by-step. Our first step is to recognize that we have three 6s and four 8s to multiply. The multiplication of the same numbers can be expedited by using the concept of exponents. Thus, we rewrite the expression as 63 x 84. We find that 63 equals 216 and 84 equals 4096. Multiplying these two results gives us 884,736, which is the final answer.