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
7 7 7 = 6
8 8 8 = 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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Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.