Quantitative Aptitude :: Problems on Numbers - Discussion

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Explanation:
Even number of inverse key has no effect on the number.
For example, Initially the given number is 6. Square key makes it 6^2 and invert key makes it 1/6^2. Now again square key makes it (1/6^2)^2=1/6^4 and invert key makes it 6^4.
Now observe clearly, after pressing square key 2 times, the power of 6 became 4.
By pressing the square key, the value got increased like 2, 4, 8, .... Which are in the format of 2^n.
So after the 16 pressings the power becomes 2^16
So the final number will be (6^2)^16=6^65536