DO NOT POST OLD INFORMATION 3. (Euler's Theorem, 5pt) What is the last digit of 7^8984392344350386 (in its decimal expan

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DO NOT POST OLD INFORMATION
3. (Euler's Theorem, 5pt) What is the last digit of
7^8984392344350386 (in its decimal expansion)? Explain how you did
it. Hint: can you reexpress "last digit" more mathematically, so
you can apply Euler's theorem? Hint 2: you can do this whole
problem in your head. No calculator required, just thinking.