Final answer:
The expression (3^-6 x (3^4/3^0)^2) simplifies to 3^2, which equals 9. None of the multiple-choice options provided are correct since the correct simplification was not listed among them.
Step-by-step explanation:
To simplify (3^-6 x (3^4/3^0)^2), we need to apply the rules of exponents. First, any number to the zeroth power is 1, so 3^0 is 1, which means (3^4/3^0) simplifies to 3^4. Next, when we raise an exponent to a power, we multiply the exponents, which means (3^4)^2 is 3^(4\times2) or 3^8. Multiplying the exponentiated quantities, we multiply their bases and add the exponents, so 3^-6 \times 3^8 equals 3^(8-6) or 3^2. Thus, the expression simplifies to 3^2, which is 9. Therefore, none of the multiple-choice options A. (3^-10), B. (3^12), C. (3^-2), or D. (3^8) are correct; the correct answer is not listed.