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ASMO Math 2022 — Grade 6 — School Round Question 22

ASMO Maths · ASMO Math 2022 — Grade 6 — School Round

Question 22

$2^x$ means that 2 is used as a factor x times. For example, $2^4$ means $2\times 2\times 2\times 2=16$. We say that $2^4$ ends in 6 and that $2^4$ has a units digit of 6. If $2^{1997}$ is multiplied out, determine the units (ones) digit of the product.