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An operation $∗$ on the set of positive integers is defined by $a ∗ b = (a + b)^{a−b}$ . Evaluate:

$$1024 ∗ (512 ∗ (256 ∗ (128 ∗ (64 ∗ (32 ∗ (16 ∗ (8 ∗ (4 ∗ (2 ∗ 1)))))))))$$
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