3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是

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3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是3^13=,3^2=9,3^3=27,3^4

3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是
3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是

3^13=,3^2=9,3^3=27,3^4=81,.3^2010的末位数字是
3^1 = 3 ----------------- 3
3^2 = 9 ----------------- 9
3^3 = 27 ----------------- 7
3^4 = 81 ----------------- 1
3^5 = 243 ----------------- 3
3^6 = 729 ----------------- 9
3^7 = 2187 ----------------- 7
3^8 = 6561 ----------------- 1
……
观察知,3的次方末尾数字以3,9,7,1为循环;
∵ 2010÷4 = 502……2
∴ 3^2010的末尾数字为 9