Final answer:
The product of 9 to the power of negative 3 and 9 to the power of negative 1 is 9 to the power of negative 4 when multiplied together, following the rule of adding exponents for the same base.
Step-by-step explanation:
The question asks us to find the product of 9−3 and 9−1 and express the answer in exponential form. To do this, we apply the rule for multiplying exponents with the same base. We keep the base the same and add the exponents:
9^−3 * 9^−1 = 9^((−3) + (−1)) = 9^−4.
Therefore, the product in exponential form is 9^−4.