Analogy (power): 2 : 32 :: 3 : ____. Recognize the exponent pattern.

Introduction / Context:Exponent pattern recognition: 2 maps to 32 = 2^5. Apply the same exponent to 3.

Given Data / Assumptions:

• 2 → 32 = 2^5.
• Hence 3 → 3^5.

Concept / Approach:Compute 3^5 = 243.

Step-by-Step Solution:3^2=9; 3^3=27; 3^4=81; 3^5=243.

Verification / Alternative check:Check consistency with the given mapping’s exponent.

Why Other Options Are Wrong:They are not 3^5.

Common Pitfalls:Using 3^4 (81) or miscalculating powers.

Final Answer:243.