Bạn alibaba nguyễn sai rồi nên mình sửa lại rồi bạn xem nhé :

Lời giải :

Ta có : \(331\equiv1\left(mod15\right)\)

\(\Rightarrow331^{332}\equiv1^{332}\equiv1\left(mod15\right)\left(1\right)\)

Ta có : \(2^4\equiv1\left(mod15\right)\)

\(\Rightarrow2^{333}=\left(2^4\right)^{83}.2\equiv2\left(mod15\right)\)

\(\Rightarrow332^{333}\equiv2^{333}\equiv2\left(mod15\right)\left(2\right)\)

Ta có : \(3^5\equiv3\left(mod15\right)\)

\(\Rightarrow3^{334}=3^{5.66}.3^4\equiv3^{66}.3^4\equiv3^{70}\equiv\left(3^5\right)^{14}\equiv3^{14}\equiv\left(3^5\right)^2.3^4\equiv3^2.3^4\equiv3^6\equiv9\left(mod15\right)\)

\(\Rightarrow333^{334}\equiv3^{334}\equiv9\left(mod15\right)\left(3\right)\)

Từ ( 1 ) , ( 2 ) , ( 3 ) suy ra : \(A\equiv\left(1+2+9\right)\equiv12\left(mod15\right)\)

Vậy A chia cho 15 dư 12

A = (tự chép lại đề)

\(\Leftrightarrow A=\left(330+1\right)^{332}+\left(333-1\right)^{333}+\left(332+1\right)^{334}\)

\(\Leftrightarrow A=\left(330+1+333-1+332+1\right)+\left(x\right)^{332+333+334}\)

\(\Rightarrow A=996\)

\(\Rightarrow A\)chia 15 dư : \(996:15=66\) dư 6

=> A chia 15 dư 6

32 + 33 + 32 + 33 + 32 + 33 + 332 + 333 + 332+ 333 + 3332 + 3333 = 8190

8189 kb với mk nha

A=(300 +1)^332 + (333-1)^333 +3^334.11^334

A=331^332-1^332 + 332^333 +1^333 +333^334

A=330(330^331 +330^330+...+1) +333(333^332 -333^331 +...-1) +333^334 chia het cho 3

A=331^332-1^332 +332^333 -2^333 + 333^334 +2^334 +2^333 -2.2^333 +1
A=330(330^331+...+1)+ 330(332^331 +...+2^331) +335 (333^333 -335^332.2+......-2^333) -2.(1+2^332) +3

A=..... -2(5(4^167 -4^156 +....-1)) +3

=> A chia 5 du 3

(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2.................999 x 2 x 2 x 2 ?

A.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 > 999 x 2 x 2 x 2 = 9990 > 7992

B.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 < 999 x 2 x 2 x 2 = 9990 < 7992

C.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 = 999 x 2 x 2 x 2 = 9990 = 7992

Đáp án A nhé

333333000000

999³³³ = ( 333³ )³³³ = 333⁹⁹⁹

=> 333⁹⁹⁹ = 333⁹⁹⁹

=> 999³³³ = 333⁹⁹⁹

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