Asked by VFW
                Use inductive reasoning to determine the units digit of the number 2^58
How do I go about finding the answer? I've been looking through my textbook and still can't fully understand
            
        How do I go about finding the answer? I've been looking through my textbook and still can't fully understand
Answers
                    Answered by
            oobleck
            
    look at the units digit as the powers increase
n 2^n ends in
1 2
2 4
3 8
4 6
5 2
...
so 2^4n ends in 6
58 = 4*16 + 2, so 2^58 ends in 4
    
n 2^n ends in
1 2
2 4
3 8
4 6
5 2
...
so 2^4n ends in 6
58 = 4*16 + 2, so 2^58 ends in 4
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