In honour of 2048

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Evaluate ( 2048 2 1 ) ( 2048 2 2 ) ( 2048 2 3 ) . . . . (2048 - 2^1)(2048 - 2^2)(2048 - 2^3).... .


The answer is 0.

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1 solution

Noel Lo
Apr 13, 2015

You will eventually multiply by ( 2048 2 11 ) (2048 - 2^{11}) which is equal to zero. Anything times zero is zero.

Moderator note:

Like your other question, you should have mentioned that you applied Zero Product Property to make it clearer.

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