chenhong1224 wrote:
If n = 8^11 – 8, what is the units digit of n?
A.0
B.1
C.4
D.6
E.8
Observe that n = 8^11 - 8 = 8(8^10 - 1). Let’s first find the pattern of units digits of powers of 8:
8^1 = 8
8^2 = 4
8^3 = 2
8^4 = 6
8^5 = 8
We see that the pattern of units digits of powers of 8 is 8-4-2-6. Furthermore, the units digit of powers of 8 that are multiples of 4 is 6 and the units digit of powers of 8 that are 2 more than multiples of 4 is 4. That is, the units digit of 8^10 is 4. Replace 8^10 with
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