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First note that when you divide any number by the 10, the remainder will be the same number as the units digit. For example, when 26 is divided by 10, the remainder is 6 and when 37832728 is divided by 10, the remainder is 8. For this problem, we just need to know what the units digit of the number 2^400. So let's see if we can see a pattern. 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, and 2^6 = 64. The pattern we are looking for is the value of the units digit. It is 2, 4, 8, 6, 2, 4, 8, 6, and it repeats. Every fourth remainder is 8 and since 400 is a multiple of 4, 2^400 will have 6 as its units whatever the number is and therefore the remainder will be 6. Hope that helps :)

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13y ago
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Q: What is the remainder of 2 raised to the power 400 divided by 10?
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