Number analogy: powers of the same base (n, n squared, n cubed)

This type of question, asked 3 times: 23 Sep 2024 S2, 23 Sep 2025 S2, 26 Sep 2025 S1. All 3 questions below, oldest first.

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Question 1
23 Sep 2024 S2
18 $Select the set in which the numbers are related in the same way as are the numbers of the given sets. (3, 9, 27) (4, 16, 64) (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)$
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Question 2
23 Sep 2025 S2
19 $Find the missing number : 256 : 4096 :: 225 : ?$
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Question 3
26 Sep 2025 S1
22 $Find the missing number : 100 : 1000 :: 64 : ?$
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Question 1