Algebra-1

Question Analysis
This question tests the student's ability to apply the Product of Powers Rule in a scientific context involving exponential growth.

Key Concept Explanation
The Product of Powers Rule allows us to combine exponential expressions with the same base by adding their exponents: . In this scenario, the base represents the growth factor, and the exponents represent stages of growth.

Step-by-step Solution
Identify the base and exponents in the expression: The base is 3, with exponents 4 and 2.
Write the expression for the new population:
Apply the Product of Powers Rule:

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