Question: Use Euler's theorem to find a number (a) between 0 and 9 such that (a) is congruent to (7^{1000}) modulo 10. (Note: This is the

Use Euler's theorem to find a number $a$ between 0 and 9 such that $a$ is congruent to $7^{1000}$ modulo 10. (Note: This is the same as the last digit of the decimal expansion of $7^{1000}$.)

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