\(a,\left(-14\right)\cdot\left(-125\right)\cdot\left(+3\right)\cdot\left(-8\right)\\ =\left[\left(-125\right)\cdot\left(-8\right)\right]\cdot\left[3\cdot\left(-14\right)\right]\\ =1000\cdot\left(-42\right)\\ =-42000\)

Xem lại đề câu b nhé

\(D=2^{100}-2^{99}-2^{98}-...-2^2-2-1\\ =2^{100}-\left(2^{99}+2^{98}+...+2^2+2+1\right)\\ \text{Đặt }G=2^{99}+2^{98}+...+2^2+2+1\\ 2G=2^{100}+2^{99}+...+2^3+2^2+2\\ 2G-G=\left(2^{100}+2^{99}+...+2^3+2^2+2\right)-\left(2^{99}+2^{98}+...+2^2+2+1\right)\\ G=2^{100}-1\\ D=2^{100}-G\\ =2^{100}-\left(2^{100}-1\right)\\ =2^{100}-2^{100}+1\\ =1\)

b/(-25).34.2+/(-34).(-250)/

=(-50).34+34.250

=34.(-50+250)

=34.200

=6800

c/2D=2.(2¹⁰⁰-2⁹⁹-...-2²-2-1)

=2¹⁰¹-2¹⁰⁰-...-2³-2²-2

2D-D=2¹⁰¹-2¹⁰⁰-...-2³-2²-2-(2¹⁰⁰-2⁹⁹-2²-2-1)

D=2¹⁰¹-2.2¹⁰⁰⁺¹

D=2¹⁰¹-2¹⁰¹+1=1

a) \(A=1+2+2^2+...+2^{50}\)

\(\Rightarrow2A=2+2^2+...+2^{51}\)

\(\Rightarrow A=2A-A=2+2^2+...+2^{51}-1-2-2^2-...-2^{50}=2^{51}-1\)

b) \(B=1+3+3^2+...+3^{100}\)

\(\Rightarrow3B=3+3^2+...+3^{101}\)

\(\Rightarrow2B=3B-B=3+3^2+...+3^{101}-1-3-3^2-...-3^{100}=3^{101}-1\)

\(\Rightarrow B=\dfrac{3^{101}-1}{2}\)

c) \(C=5+5^2+...+5^{30}\)

\(\Rightarrow5C=5^2+5^3+...+5^{31}\)

\(\Rightarrow4C=5C-C=5^2+5^3+...+5^{31}-5-5^2-...-5^{30}=5^{31}-5\)

\(\Rightarrow C=\dfrac{5^{31}-5}{4}\)

d) \(D=2^{100}-2^{99}+2^{98}-...+2^2-2\)

\(\Rightarrow2D=2^{101}-2^{100}+2^{99}-...+2^3-2^2\)

\(\Rightarrow3D=2D+D=2^{101}-2^{100}+2^{99}-...+2^3-2^2+2^{100}-2^{99}+...+2^2-2=2^{101}-2\)

\(\Rightarrow D=\dfrac{2^{101}-2}{3}\)

a) 79.28.9 + 21.28.9
= 28.9(79 + 21)
= 28.9.100
= 252.100 = 25200

b) 16² + 4.8.34 + 34²
= 16² + 2.2.8.34 + 34²
= 16² + 2.16.34 + 34²
= (16 + 34)²
= 50² = 2500

c) 4¹⁰.5¹⁰ - (20⁵ - 2)(20⁵ + 2)
= 4¹⁰.5¹⁰ - 20¹⁰ + 4
= 4¹⁰.5¹⁰ - (4.5)¹⁰ + 4
= 4¹⁰.5¹⁰ - 4¹⁰.5¹⁰ + 4
= 4

a) 67.(-18) + (-33).18

= 67.(-18) + 33.(-18)

= (-18).(67 + 33)

= (-18).100

= (-1800)

b) 34.(-53) - (-66).53 - 68.(-53)

= (-34).53 + 66.53 - (-68).53

= (-34).53 + 66.53  + 68.53

= 53. (-34 + 66 + 68)

= 53.100

= 5300

a) 67.(-18) + (-33).18

= 67.(-18) + 33.(-18)

= (-18).(67 + 33)

= (-18).100

= (-1800)

b) 34.(-53) - (-66).53 - 68.(-53)

= (-34).53 + 66.53 - (-68).53

= (-34).53 + 66.53  + 68.53

= 53. (-34 + 66 + 68)

= 53.100

= 5300

chúc bạn học tốt nhé

tính nhanh và quy tắc dấu ngoặc a

mak trước khi hỏi ngươi tra mạng trước cho nhanh

a)\(210+ \left[46+\left(-210\right)+\left(-260\right)\right]\)

=\(210+46+\left(-210\right)+\left(-260\right)\)

=\(\left[210+\left(-210\right)\right]+\left[46+\left(-260\right)\right]\)

=\(0+\left(-164\right)\)

\(=-164\)

b)\(\left(-8\right)-\left[\left(-5\right)+8\right]\)

\(=\left(-8\right)-\left(-5\right)-8\)

\(=\left[\left(-8\right)-8\right]-\left(-5\right)\)

\(=\left(-16\right)-\left(-5\right)\)

\(=-11\)

c)\(25.134+25.\left(-34\right)\)

\(=25\left(100+34\right)+25.\left(-34\right)\)

\(=2500+25.34+25\left(-34\right)\)

\(=2500+25\left[34+\left(-34\right)\right]\)

\(=2500+25.0\)

\(=2500+0\)

\(=2500\)

a/  3 + 2387 : 77 - 33 

= 3 + 31 - 33

= 31 + ( 3 - 33)

= 31 + (-30)

= 1

b/ 8 x 33 x 25 x 125 x 4

= (8 x 125) x (4 x 25) x 33

= 1000 x 100 x 33

= 100000x 33

= 3300000

c/ 20, 16 : 0,01

= 2016 : 1

= 2016

Thêm : 

D, 8,6 - 2,75

E, 4\(\frac{3}{8}\)+ 5\(\frac{2}{3}\)

F, 3\(\frac{1}{5}\)- 1\(\frac{1}{5}\)+ \(\frac{2}{5}\)

G, \(\frac{2}{5}\)+ \(\frac{3}{5}\): \(\frac{4}{5}\)

H, \(\frac{5}{2}\)x \(\frac{1}{3}\)+ \(\frac{1}{4}\)

133+625+27.19-25.15

133+625+513-375

625-375+133+513

250+133+513

383+513=896

b,-624-611-35

=-1270

chúc bạn học tốt