Select the related word/letters/number from the given alternatives. 34 : 81 :…

Concept

In a number analogy A : B :: C : ?, the same rule that converts A into B must be applied to C to find the missing term. Here, the second number in each pair is obtained by raising the first digit of the two-digit number to the power of its second digit.

Application

1. For the first pair, 34 has digits 3 and 4, and 3 raised to the power 4 equals 81, which matches the given second term (34 = 81).

2. Applying the same base-exponent rule to 23, whose digits are 2 and 3, gives 2 raised to the power 3 (23).

Cross-check

2 raised to the power 3 equals 2 × 2 × 2 = 8, confirming the pattern (23 = 8); no other offered value satisfies the same base-exponent rule applied to 23's digits.