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.