Final answer:
To combine v² * v⁻⁸ into a single term with a positive exponent, you add the exponents (2 + (-8) = -6) and then write it as the reciprocal with a positive exponent, resulting in 1/v⁶.
Step-by-step explanation:
To simplify the expression v² * v⁻⁸ and write it with a positive exponent, we can apply the rule of multiplying powers with the same base. According to the rules of exponents, when we multiply two exponentiated quantities with the same base, we add the exponents. So the expression simplifies to v² * v⁻⁸ = v²+⁻⁸ = v⁻⁶. Since we prefer to write expressions with positive exponents, we can express a negative exponent as the reciprocal with a positive exponent, meaning v⁻⁶ is equivalent to 1/v⁶.