Question 25

The unit digit of $$3^{27}$$ is

Solution

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The unit digits of powers of 3 repeat in the cycle 3, 9, 7, 1 with period 4. Since $$27 = 4 \times 6 + 3$$, the unit digit of $$3^{27}$$ is the same as that of $$3^3 = 27$$, which is 7.

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