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Super power equation (Posted on 2024-01-27) Difficulty: 3 of 5
If xx4=4 what is the value of xx2+xx8?

No Solution Yet Submitted by Danish Ahmed Khan    
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Puzzle Solution Comment 2 of 2 |
x^(x^4)=4
=> (x^4)^(x^4) = 4^4
=> x^4 =4
=> x = +/- v2
Therefore:
x^(x^2) = (v2)^2 = 2
x^(x^8) =( v2)^(16)= 2^8 = 256
Consequently,  x^(x^2)+x^(x^8)= 2 + 256 = 258

  Posted by K Sengupta on 2024-01-27 21:42:17
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