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TSO
The answer is multiplication.

4/1 = 4

16/4 = 4

64/16 = 4

So that means each number is getting multipled by 4 to find the next number. :)
Leader
Each number is multiplied by 4 to get the next number.

1 is multiplied by 4 to get 4.
4 is multiplied by 4 to get 16.
16 is multiplied by 4 to get 64.

And so on.

So the operation that determines the pattern is MULTIPLICATION.