a) -(-35) + (-28) + 65 + (-72)
= 35 + (-28) + 65 + (-72)
= (35 + 65) + [-28 + (-72)]
= 100 + (-100)
= 0
b) 17.92 + 114.83 + 17.23 - (-83)
= 17.92 + 114.83 + 17.23 + 83 [Lên cấp 2 thì cũng nên đổi dấu nhân thành dấu chấm rồi nhé =)))]
= 17.92 + 114.83 + 17.23 + 83.1
= 17.(92+23) + 83.(114+1)
= 17.115 + 83.115
= (17+83).115
= 100.115
= 11500
c) |-19| + [(-19) + |71| + 43] - (43 - 29 - 13)
= 19 + [(-19) + 71 + 43] - 43 + 29 + 13 (Quy tắc phá ngoặc)
= 19 + [52 + 43] - 43 + 29 + 13
= 19 + 95 - 43 + 29 + 13
= 114 - 43 + 29 + 13
= 71 + 29 + 13
= 100 + 13
= 113
d) 2029 - {[39 - (2².3 -21)²] : 3 + 2018⁰}
= 2029 - {[39 - (4.3 -21)²] : 3 + 1} (a^o = 1)
= 2029 - {[39 - (12 -21)²] : 3 + 1}
= 2029 - {[39 - (-9)²] : 3 + 1}
= 2029 - {[39 - 81] : 3 + 1}
= 2029 - {[-42] : 3 + 1} 
= 2029 - {-14 + 1} 
= 2029 - {-13}
= 2029 + 13
= 2042

72*23-(-23)*(-92)=

a)83-6.(x-7)=35

6(x-7)=83-35=48

x-7=48:6=8

x=8+7=15

b)246+7.(x+15)=442

7(x+15)=442-246=196

x+15=196:7=28

x=28-15=13

c)303:{606:[450-(x.4³-8³.2)]}=101

606:[450-(x.4³-8³.2)]=303:101=3

450-(x.4³-8³.2)=606:3=202

x . 64-512=450-202=248

x . 64=248+512=760

x=760:64=11,875

tks cho mk nhe

Sửa đề: \(\dfrac{1}{1.9}\rightarrow\dfrac{9}{9.19}\)

Giải:

\(N=\dfrac{9}{9.19}+\dfrac{9}{19.29}+\dfrac{9}{29.39}+...+\dfrac{9}{2019.2029}\) 

\(N=\dfrac{9}{10}.\left(\dfrac{10}{9.19}+\dfrac{10}{19.29}+\dfrac{10}{29.39}+...+\dfrac{10}{2019.2029}\right)\) 

\(N=\dfrac{9}{10}.\left(\dfrac{1}{9}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{29}+\dfrac{1}{29}-\dfrac{1}{39}+...+\dfrac{1}{2019}-\dfrac{1}{2029}\right)\) 

\(N=\dfrac{9}{10}.\left(\dfrac{1}{9}-\dfrac{1}{2029}\right)\) 

\(N=\dfrac{9}{10}.\dfrac{2020}{18261}\) 

\(N=\dfrac{202}{2029}\)

a: \(3^8:3^4+2^2\cdot2^3\)

=81+32

=123

b: \(3\cdot4^2-2\cdot3^2\)

\(=48-18\)

=30

a, 3⁸: 3⁴+ 2². 2³

= 3^8-4 + 2²⁺³

= 3⁴ + 2⁵

= 81 + 32

= 113

b,  3 . 4²- 2 . 3²

= 3 . 16 - 2 . 9

= 48 - 18

= 30

c,  84 : 4 + 3⁹: 3⁷+ 5⁰

= 84 : 4 + 3² + 1

= 84 : 4 + 9 + 1

= 21 + 9 + 1

= 31

d,  295 - ( 31 - 2² . 5)²

= 295 - ( 31 - 4 . 5 )²

= 295 - ( 31 - 20 )²

= 295 - 11²

= 295 - 121

= 174

e, 500 - {5[409 - (2³ . 3 - 21)² ] + 10³ } : 15

= 500 -  {5[409 - (8 . 3 - 21)² ] + 10³ } : 15

= 500 -  {5[409 - (24 - 21)² ] + 10³ } : 15

= 500 -  {5[409 - 3² ]+ 10³ } : 15

= 500 - {5[409 - 9 ]+ 10³ } : 15

= 500 - {5 . 400 + 1000 } : 15

= 500 - {2000 + 1000} : 15

= 500 - 3000 : 15

= 500 - 200

= 300

g, 5³ . 2 - 100 : 4 + 2³ . 5

= 125 . 2 - 100 : 4 + 8 . 5

= 250 - 25 + 40

= 225 + 40

= 265

h, 205 - [1200 - (4² - 2 . 3)³ ] : 40

= 205 - [ 1200 - ( 16 - 2 . 3 )³ : 40

= 205 - [ 1200 - ( 16 - 6 )³  ] : 40

= 205 - [ 1200 - 10³ ] : 40

= 205 - [ 1200 - 1000 ] : 40

= 205 - 200 : 40

= 205 - 5

= 200

Đây nha bạn!!!

1.3.5...39/21.22.23...40=(1.3.5...39)(2.4.6...40)/(21.22...40)(2.4.6...40)
=1.2.3.4...40/21.22...40(1.2.3...40)2^20
=1/2^20