Number Properties Puzzle – Challenge 16
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Challenge:
What digit appears in the units place in the number obtained when \(2^{136}\) is multiplied out?
A- 0
B- 2
C- 4
D- 6
E- 8
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The correct answer is D.
Try to find the pattern:
\(2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, 2^6 = 64\),
The pattern repeats every 4 numbers. Therefore, when \(2^{136}\) is multiplied out, the unit digit is 6. Why?
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