Final answer:
The correct answer is option a) 6^8. To rewrite 6^-2/6^6 with a single positive exponent, apply the quotient rule and subtract the exponents to get 6^8.
Step-by-step explanation:
The student has asked how to rewrite the expression 6^-2/6^6 using a single positive exponent. To solve this, you apply the quotient rule for exponents, which states that when you divide powers with the same base, you subtract the exponents. In this case, you subtract -2 from 6, which gives you 66 - (-2) or 66 + 2. This simplifies to 6^8. Therefore, the correct answer would be option a) 6^8.