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What is the pattern as the exponents decrease in the powers of 3: 3, 27, 32, 9?

A) Increasing
B) Alternating
C) Decreasing
D) Random

User Anujin
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1 Answer

6 votes

Final answer:

When analyzing the powers of 3, the pattern as exponents decrease is that the values also decrease, moving from 3^4 to 3^1, the values are 81, 27, 9, and 3. Hence, the pattern is decreasing.

Step-by-step explanation:

To answer this question, we need to analyze the pattern of the powers of 3 as the exponents decrease: 3, 27, 81, and 9.

First, let's identify the exponents and the pattern:

  • 31 = 3
  • 32 = 9 (Notice this corrects the typo in the student's original sequence)
  • 33 = 27
  • 34 = 81

As the exponents decrease moving backward through this sequence (going from 34 to 31), we can see that the values also decrease: 81, 27, 9, 3.

Therefore, the pattern as the exponents decrease in the powers of 3 is: C) Decreasing.

User Fer Trovati
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