a: \(4\cdot3^3-75:5^2\)

\(=4\cdot27-\dfrac{75}{25}\)

=108-3

=105

b: \(7\cdot2^4-16\cdot3\)

\(=16\cdot7-16\cdot3\)

=16(7-3)

=16*4=64

c: \(2^3\cdot17-2^3\cdot14\)

\(=8\cdot17-8\cdot14\)

=8(17-14)

=8*3

=24

d: \(45+\dfrac{54}{3^2}\)

\(=45+\dfrac{54}{9}\)

=45+6

=51

e: \(17\cdot85+15\cdot17-120\)

\(=17\left(85+15\right)-120\)

=1700-120

=1580

f: \(\dfrac{3^{24}}{3^{21}}+2^2\cdot2^3\)
 

\(=3^3+2^5\)

=27+32

=59

g: \(92+4^3:8\)

=92+64/8

=92+8

=100

h: \(5\cdot2^3+7^{11}:7^9-1^{2023}\)

\(=5\cdot8+49-1\)

=40+48

=88

\(A=\frac{-3}{7}+\frac{14}{23}+\frac{-14}{17}+\frac{9}{23}-\frac{5}{19}\)

\(\Rightarrow A=-\frac{3}{7}+\left(\frac{14}{23}+\frac{9}{23}\right)-\frac{14}{17}-\frac{5}{19}\)

\(\Rightarrow A=\frac{-3}{7}+1-\frac{14}{17}-\frac{5}{19}\)

Tính nốt nhé

\(B=\frac{5}{9}.\frac{7}{13}.\frac{5}{9}.\frac{9}{13}.\left(-\frac{5}{13}\right).\frac{3}{9}\)

Tương tự câu A

a: \(=\dfrac{48-45}{54}\cdot\dfrac{9}{4}=\dfrac{3}{54}\cdot\dfrac{9}{4}=\dfrac{27}{216}=\dfrac{1}{8}\)

b: \(=\dfrac{6}{5}+1=\dfrac{11}{5}\)

c: \(=\dfrac{7\cdot28\cdot15}{9\cdot25\cdot14}=\dfrac{1}{2}\cdot\dfrac{28}{25}\cdot\dfrac{5}{3}=\dfrac{140}{150}=\dfrac{14}{15}\)

\(a,21-22+23-24=-1+\left(-1\right)=-2\\ b,125-\left(115-99\right)=125-115+99=10+99=109\)

a) 21 - 22 + 23 - 24

= (21 + 23) + (-22 - 24)

= 44 - 46

= -2

b) 125 - (115 - 99)

= 125 - 115 + 99

= 10 + 99

= 109

a, - 2

b, 109

Câu 5:

a: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)

\(=31\left(-18-81-1\right)\)

\(=31\cdot\left(-100\right)=-3100\)

b: \(\left(-12\right)\cdot47+\left(-12\right)\cdot52+\left(-12\right)\)

\(=\left(-12\right)\left(47+52+1\right)\)

\(=-12\cdot100=-1200\)

c: \(13\cdot\left(23+22\right)-3\cdot\left(17+28\right)\)

\(=13\cdot45-3\cdot45\)

\(=45\cdot10=450\)

d: \(-48+48\left(-78\right)+48\left(-21\right)\)

\(=48\left(-1-78-21\right)\)

\(=48\left(-100\right)=-4800\)

Câu 4:

a: \(\left(-6-2\right)\left(-6+2\right)=\left(-8\right)\cdot\left(-4\right)=32\)

b: \(\dfrac{\left(7\cdot3-3\right)}{-6}=\dfrac{21-3}{-6}=\dfrac{18}{-6}=-3\)

c: \(\left(-5+9\right)\cdot\left(-4\right)=4\cdot\left(-4\right)=-16\)

d: \(\dfrac{72}{-6\cdot2+4}=\dfrac{72}{-12+4}=\dfrac{72}{-8}=-9\)

đỉ mẹ, đỉ má, cái lồn, con cặc.

a) ( -17 + |91| ) – ( 91 – |-17| – 2011 ) = ( -17 + 91 ) – ( 91 – 17 – 2011 )

= - 17 + 91 – 91 + 17 + 2011 = ( - 17 + 17 ) + (91 – 91 ) + 2011 = 2011