Final answer:
To rewrite (5/6)^x * (5/6)^x as A^(-8x)A^(-8x), we can use the rule for multiplying powers with the same base to add the exponents. So, the value of AAA when we rewrite the expression is 5^(-16x).
Step-by-step explanation:
When we rewrite (5/6)^x * (5/6)^x as A^(-8x)A^(-8x), we can use the rule for multiplying powers with the same base to add the exponents. So, we have 5^(-8x) * 5^(-8x) = 5^(-16x).