Question

What is the unit digit of 32^32^32

Answer 1

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= (32^32)^32

= 32^1024

= (2^5)^1024

= 2^5120

We know that only,

2^2 ends with 4 and 2^6 ends with 4. __(1)

So, we can write that

2^4m ends with 6 __(2)

On comparing we get,

5120 = 4(1280) = 4m where m = 1280.

Thus 32^32^32 ends with 6.

Answer 2

Answer:

8 is unit digit.......