Final answer:
To simplify the expression q¹⁵/q⁶, subtract the lower exponent from the higher exponent to get q⁹. The exponent on 'q' in the simplified form is 9.
Step-by-step explanation:
When simplifying the expression q¹⁵/q⁶, you are dividing two powers with the same base. According to the laws of exponents, when you divide like bases you subtract the exponents. Hence, to simplify this expression, you subtract 6 from 15.
q¹⁵ / q⁶ = q¹⁵−⁶ = q⁹.
Therefore, the exponent on the 'q' in the simplified form is 9, which correlates to answer choice (A) 9.