Discussion
What is the unit digit of \(7^{105}\)?
Answer: C
The cyclicity of the unit digit of powers of 7 is 4. The pattern is 7, 9, 3, 1.
Divide the power by 4 and find the remainder.
105 ÷ 4 gives a remainder of 1.
If the remainder is 1, the unit digit is the first in the cycle, which is 7.
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