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C = ( 23 . 21 - 23 . 17 ) + 1253 : (52)3 . 20180
C = ( 8 . 21 - 8 . 17 ) + 1953125 :253 . 1
C = ( 168 - 136 ) + 1953125 : 15625 . 1
C = 32 + 125 . 1
C = 32 + 125
C = 157
Chúc bạn học tốt !
C = ( 23 . 21 - 23 . 17 ) + 1253 : (52)3 . 20180
C = [23 . (21 - 17)] + 1253 : 56 . 1
C = [8 . 4] + 1253 : 1252 . 1
C = 32 + 125 . 1
C = 32 + 125
C = 157.

\(M=\left(2018+2018^2\right)+\left(2018^3+2018^4\right)+...+\left(2018^{2017}+2018^{2018}\right)\)
\(=2018\left(1+2018\right)+2018^3\left(1+2018\right)+...+2018^{2017}\left(1+2018\right)\)
\(=2018.2019+2018^3.2019+...+2018^{2017}.2019\)
\(=2019\left(2018+2018^3+...+2018^{2017}\right)⋮2019\)
b/ \(M=2018+2018^2+...+2018^{2018}\)
\(2018M=2018^2+2018^3+...+2018^{2018}+2018^{2019}\)
Lấy dưới trừ trên:
\(2018M-M=-2018+2018^{2019}\)
\(\Rightarrow2017M=2018^{2019}-2018\)
\(\Rightarrow M=\frac{2018^{2019}-2018}{2017}=\frac{2018^{2019}}{2017}-\frac{2017+1}{2017}=\frac{2018^{2019}}{2017}-1-\frac{1}{2017}\)
\(\Rightarrow M=N-\frac{1}{2017}\Rightarrow M< N\)

\(A=\frac{\left(2018+1\right).2018}{2}=2037171\)
\(B=1.2+2.3+3.4+...+2018.2019\)
\(3B=1.2.3+2.3.3+3.4.3+...+2018.2019.3\)
\(3B=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+2018.2019.\left(2020-2017\right)\)
\(3B=1.2.3+2.3.4-1.2.3+...+2018.2019.2020-2017.2018.2019\)
\(3B=2018.2019.2020\)
\(B=\frac{2018.2019.2020}{3}\)
\(B=2743390280\)
Chúc bạn học tốt ~

290-10.(2018^0+3^5:3^2)
=290-10.(1+243:9)
=290-10.(1+27)
=290-10.28
=290-280
=10
71-50:[5+3.(57-6.7)]

À mà thôi khỏi mình biết cách làm rồi ! Dù sao cũng cảm ơn lần nữa

a) \(S=7^0+7^2+7^4+...+7^{2018}\)
\(\Rightarrow7^2S=7^2\left(7^0+7^2+7^4+...+7^{2018}\right)\)
\(49S=\left(7^2+7^4+7^6+...+7^{2020}\right)\)
\(49S-S=48S=\left(7^2+7^4+7^6+...+7^{2020}\right)-\left(7^0+7^2+7^4+...+7^{2018}\right)\)
\(48S=7^{2020}-7^0=7^{2020}-1\Leftrightarrow S=\dfrac{7^{2020}-1}{48}\) vậy \(S=\dfrac{7^{2020}-1}{48}\)

Số số hạng của biểu thức \(\left(20182018-122018\right):20000+1=1004\)
Tổng là \(\left(20182018+122018\right).1004:2\)
\(=20304036.1004:2=.......2\)
Suy ra chữ số tận cùng của tổng đố là chữ số 2

a) \(79\cdot283+21\cdot301+79\cdot17-21\)
\(=79\cdot283+21\cdot301+79\cdot17-21\cdot1\)
\(=79\cdot\left(283+17\right)+21\cdot\left(301-1\right)\)
\(=79\cdot300+21\cdot300\)
\(=\left(79+21\right)\cdot300\)
\(=100\cdot300=30000\)
b) \(8^{19}:8^{18}\cdot8+4\cdot3^2-1^{2018}\)
\(=8^{19}:8^{18}\cdot8^1+4\cdot9-1\)
\(=8^{19-18+1}+36-1\)
\(=8^2+36-1\)
\(=64+36-1\)
\(=100-1=99\)
c) \(700+\left\{5\cdot\left[60:\left(5-3\cdot7^0\right)\right]-10^2\right\}\)
\(=700+\left\{5\cdot\left[60:\left(5-3\cdot1\right)\right]-100\right\}\)
\(=700+\left\{5\cdot\left[60:\left(5-3\right)\right]-100\right\}\)
\(=700+\left\{5\cdot\left[60:2\right]-100\right\}\)
\(=700+\left\{5\cdot30-100\right\}\)
\(=700+\left\{150-100\right\}\)
\(=700+50=750\)
a) 79.283+21.301+79.17-21
= 79.283+21.301+79.17-21.1
= 79.(283+17) . 21.(301-1)
= 79.300 + 21.300
= (79+21).300
= 100 . 300
= 30 000
\(\left(-1\right)^{2018}-250 :\left(-5\right)^2-2018^0\)
\(=1-250:25-1\)
\(=-250:25\)
\(=-10\)