Solve the Simple Equation

Can you solve below mathematical equation?

2^1234 - 2^1233




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We have arranged an array of numbers below. What you have to do is use any kind of mathematical symbol you know excluding any symbol that contains a number like cube root. You can use any amount of symbols but you have to come up with a valid equation for all of them.

0 0 0 = 6
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How Long will it take to fill the bucket?

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