But since we are to express the population as a power of 3, note that 324 = \( 3^4 \times 4 = 81 \times 4 = 2^2 \cdot 3^4 \). So:

Sun, 03 May 2026 06:40:57 +0000

Why Population Models Often Use Powers of 3: Understanding 324 = \\( 3^4 \\ imes 4 \\) When studying population dynamics, mathematicians and demographers frequently express large numbers as powers of prime numbers—this simplifies modeling and reveals underlying patterns. One fascinating example is the number 324, which can be rewritten as \\( 3^4 \\ imes 4 \\), or more precisely, \\( 3^4 \\ imes 2^2 \\). Breaking it down this way helps uncover insights into population scaling and growth modeling. The Mathematical Breakdown of 324 At its core, 324 equals \\( 3^4 \\ imes 4 \\), since: