x^(x^x) - (x^x)^x = y for x = 3, y will be

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13 Apr 2012 triple x

x^(x^x) - (x^x)^x = y
for x = 3, y will be

OPtion

1) 3^9[(3^9)+1][(3^9)-1]
2) 3^9[(3^18)+1]
3) 3^18[(3^9)-1]
4) 3^9[(3^9)+1]
5) 3^18[(3^27)-1]
6) 3^9[(3^18)-(3^9)]
7) 3^18[(3^18)-1][(3^18)+1]
8) 3^9[(3^18)+(3^9)]
9) 3^18[(3^9)-1]
10) none of these

Solution

3^(3^3) - (3^3)^3 = 3^27 - 3^9
= 3^9[(3^18)-1]
= 3^9[(3^9)+1][(3^9)-1]

Correct Option: 1 Best Solution (4)