Solve the Simple Equation

Can you solve below mathematical equation?

2^1234 - 2^1233




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0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
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You can use any mathematical symbols in the space provided to make all above algebraic expressions true.

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In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki