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32^12>31^12

32^12=2^60

 

17^17>16^17

16^17=2^68

 

16^17>32^12

17^17>16^17>32^12>31^12

17^17>31^12

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Here,

32>31 = 2^5 > 31

Therefore, (2^5)^12 > 31^ 12

2^60 > 31^12

Then,

17>16

17 > 2^4

17^17 > 2^68

Now since, 2^68 > 2^60

Therefore, 17^17 > 31^12

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