**
What are the last seven digits of
$9^{1,000,000}$
?
**

Note : Ignore initial zeroes of the answer for example if the answer is 0002456 then submit 2456.

The answer is 1.

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$\large 9^{10^6} \equiv (10 -1)^{10^6} \equiv \left(10^{10^6} - 10^{10^6+5} + \cdots - 10^7 + 1 \right) \equiv \boxed 1 \text{ (mod }10^7)$