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2^300=2^10^30 which is even so the tens digit will be 2

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Vinayak Shenoy
Bunuel
vitaliyGMAT
What is the tens digit of \(2^{3^{100}}\)?

A) 0
B) 2
C) 3
D) 4
E) 5

I tried several times but it seems formulae tool is not working correctly with composite powers. This is 2 into power of 3 into power of 100.
_______________________________
Edited.

Bunuel could you solve this please? i could only find units digit of this problem.

You won't need to know how to solve this for the GMAT. If still interested here are some similar questions:
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