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22 . 74 .52 . 26 .4 - 7000
= 4 x 74 x 25 x 26 x 4 - 7000
= 769600 - 7000
= 762600

\(2^2.74.5^2+5^2.26.4-7000\)
\(=4.74.25+25.26.4-7000\)
\(=7400+2600-7000\)
\(=10000-7000\)
\(=3000\)
22 . 74 . 52 + 52 . 26 . 4 - 7000
= 4 . 25 . 74 + 25 . 4 . 26 - 7000
= 100 . 74 + 100 . 26 - 7000
= 100 . ( 74 + 26 ) - 7000
= 100 . 100 - 7000
= 10000 - 7000
= 3000


22 x 74 x 52 x 52 .4 - 7000
= 4 x 74 x 25 x 25 x 4 - 7000
= 740000 - 7000
= 733000

7: =6-7+4-3=0
8: =8x5-9x4+4x6=40-36+24=28
3: =231+26-209-26=22

Bài 1: 74+(-93)+2014+(-7)+26
=(74+26)+[-93+(-7)]+2014
=100+(-100)+2014=2014
Bài 2:
15+2|x|=97
2|x|=97-15=82
|x|=82:2=41
Suy ra: x=41; x=-41
Bài 3:
Ta có: A=3+3^2+3^3+3^4+3^5+..+3^19+3^20+3^21
=(3+3^2+3^3)+(3^4+3^5+3^6)+...+(3^19+3^20+3^21)
=3.(1+3+3^2)+3^3.(1+3+3^2)+...+3^18.(1+3+3^2)
=3.13+3^3.13+...+3^18.13
=13.(1+3^3+..+3^18) (chia hết cho 13)
Vậy A chia hết cho 13

3x : 3 = 9
3x = 9 . 3
3x = 27
3x = 33
=> x = 3
c. 42x - 1 : 22 = 16
42x - 1 = 16 . 22
42x - 1 = 64
42x - 1 = 43
=> 2x - 1 = 3
=> 2x = 3 + 1
=> 2x = 4
=> x = 2

52/1*6 + 52/6*11 + 52/11*16 + 52/16*21 + 52/21*26 + 52/26*31
=5(1-1/6+1/6-1/11+1/11-...+1/26-1/31)
=5(1-1/31)
=5.30/31
=150/31
52/1 x 6 + 52/6 x 11 + 52/11 x 16 + 52/16 x 21 + 52/21 x 26 + 52/26 x 31
= 5.(5/1.6 + 5/6.11 + 5/11.16 + 5/16.21 + 5/21.26 + 5/26.31)
= 5.(1 - 1/6 + 1/6 - 1/11 + 1/11 - 1/16 + 1/16 - 1/21 + 1/21 - 1/26 + 1/26 - 1/31)
= 5.(1 - 1/31)
= 5.30/31
= 150/31
22 . 74 . 52 + 52 . 26 . 4 - 7000
= 4 . 74 . 25 + 25 . 26 . 4 - 7000
= 4 . 25 . ( 74 + 26 ) - 7000
= 4 . 25 . 100 - 7000
= 100 . 100 - 7000
= 10000 - 7000
= 3000
Ta có: \(2^2.74.5^2+5^2.26.4-2^2.5^2.70=2^2.5^2.\left(74+26-70\right)\)\(=100.\left(74-70+26\right)\)\(=100.\left(4+26\right)\)\(=100.30=3000\)