Final answer:
To find the two numbers, we set up an equation using the relationship between multiplication and division. Solving the equation by substitution, we find that the two possible numbers are 9³ and -9³.
Step-by-step explanation:
To find the two numbers, we can use the relationship between multiplication and division. Since the product is 9⁶ and the quotient is 9², we can set up the following equation: x * y = 9⁶ and x / y = 9².
To solve for x and y, we can use substitution. Rearranging the second equation, we get x = 9² * y.
Substituting this back into the first equation, we get (9² * y) * y = 9⁶. Simplifying, we have 81y² = 9⁶.
Taking the square root of both sides, we get y = ±9³.
Therefore, the two possible numbers are x = 9³ and y = 9³, or x = -9³ and y = -9³.
Learn more about Multiplication and division