\(B=7^5:7^3-6^2\cdot2+2^3\cdot2^2\)
\(B=7^2-36\cdot2+2^5\)
\(B=49-36\cdot2+32\)
\(B=49-72+32\)
\(B=9\)

a) \(26+173+74+27\)

\(=\left(26+74\right)+\left(173+27\right)\)

\(=100+200\)

\(=300\)

b) \(75\cdot37+89\cdot46+75\cdot52-89\cdot21\)

\(=75\cdot\left(37+52\right)+89\cdot\left(46-21\right)\)

\(=75\cdot89+89\cdot25\)

\(=89\cdot\left(75+25\right)\)

\(=89\cdot100\)

\(=8900\)

c) \(2^7:2^2+5^4:5^3\cdot2^4-3\cdot2^5\)

\(=2^{7-2}+5^{4-3}\cdot2^4-3\cdot2^5\)

\(=2^5+5\cdot2^4-3\cdot2^5\)

\(=2^4\cdot\left(2+5-3\cdot2\right)\)

\(=2^4\cdot\left(7-6\right)\)

\(=2^4\)

\(=16\)

d) \(100:\left\{250:\left[450-\left(4\cdot5^3-2^2\cdot25\right)\right]\right\}\)

\(=100:\left\{250:\left[450-\left(4\cdot5^3-4\cdot5^2\right)\right]\right\}\)

\(=100:\left[250:\left(450-4\cdot5^2\cdot4\right)\right]\)

\(=100:\left[250:\left(450-400\right)\right]\)

\(=100:\left(250:50\right)\)

\(=100:5\)

\(=20\)

=7/11+5/6+4/11-1/6

=(7/11+4/11)+(5/6-1/6)

=1+2/3

=5/3

\(A,\dfrac{7}{11}+\dfrac{5}{6}-\dfrac{-4}{11}-\dfrac{1}{6}\)

\(= (\dfrac{7}{11}+\dfrac{-4}{11})-(\dfrac{5}{6}-\dfrac{1}{6})\)

\(=\dfrac{3}{11}-\dfrac{2}{3}\)

\(= \dfrac{9}{33}-\dfrac{22}{33}\)

\(= \dfrac{-13}{33}\)

\(B,\dfrac{5}{9}.\dfrac{7}{3}+\dfrac{5}{9}.\dfrac{9}{13}-\dfrac{5}{9}:\dfrac{13}{5}\)

\(=(\dfrac{5}{9}.\dfrac{5}{9}:\dfrac{5}{9}).\dfrac{7}{3}+\dfrac{9}{13}-\dfrac{13}{5}\)

\(=(\dfrac{5}{9}.\dfrac{7}{3})+(\dfrac{9}{13}-\dfrac{13}{5})\)

\(=(\dfrac{5}{9}.\dfrac{21}{9})+(\dfrac{45}{65}-\dfrac{169}{65})\)

\(=\dfrac{35}{27}+\dfrac{-124}{65}\)

\(=\dfrac{2275}{1755}+\dfrac{-3348}{1755}\)

\(=\dfrac{-1073}{1755}\)

`a,5 xx (-7)+(-2) xx (-5)`

`=5 xx (-7)+5 xx 2`

`= 5 xx (2-7)`

`=5 xx (-5)`

`=-25`

`b,5 xx (-9)+(-2) xx 3`

`=3 xx (-15)+3 xx (-2)`

`=3 xx (-15-2)`

`=3 xx (-17)`

`=-51`

`c,6 xx (-5)^2+3 xx (-15)`

`=2 xx 3 xx 25+3 xx (-15)`

`=3 xx 75-3 xx 15`

`=3 xx (75-15)`

`=3 xx 60`

`=180`

a) 5×(-7) +(-2) ×(-5)

=5.(-7)+2.5

=5.(-7+2)

=5.(-5)=-25

A = \(\dfrac{1}{2}\) - 0,75 + \(\dfrac{5}{4}\) - \(\dfrac{6}{12}\)

A = 0,5 - 0,75 + 1,25 - 0,5

A = (0,5 - 0,5) + (1,25 - 0,75)

A = 0,5

B = (-\(\dfrac{1}{7}\))⁰ - 22.(\(\dfrac{2}{3}\))²

B = 1 - 22. \(\dfrac{4}{9}\)

B = 1 - \(\dfrac{88}{9}\)

B = - \(\dfrac{79}{9}\)

\(a.36+15+64\\ =\left(36+64\right)+15\\ =100+15\\ =115\\ b.12\cdot36+12\cdot64\\ =12\cdot\left(36+64\right)\\ =12\cdot100\\ =1200\\ c.\left(3^2+2^3\cdot5\right):7\\ =\left(9+8\cdot5\right):7\\ =\left(9+40\right):7\\ =49:7\\ =7\)\(\)

\(a,36+15+64\)

\(=\left(36+64\right)+15=100+15\)

\(=115\)

\(b,12.36+12.64\)

\(=12.\left(36+64\right)=12.100\)

\(=1200\)

\(c,\left(3^2+2^3.5\right):7\)

=\(\left(9+8.5\right):7\)

\(=49:7=7\)

a.36+15+64

=(36+64)+15

=100+15

=115

b.12.36+12.64

=12.(36+64)

=12.100

=1200

c.(3^2+2^3.5):7

=(9+8.5):7

=(9+40):7

49:7

=7

A= 1+3+5+7+...199-(2+4+6+...+200)

A=\(\frac{\left(199+1\right).100}{2}-\frac{\left(200+2\right).100}{2}\)

A= -100

(neu ban khong hieu vi sao lai lam nhu the thi nt mik nha)

d, Dãy số trên có số số hạng là : (200-1) : 1 + 1 = 200 (chữ số )

Ta thấy cứ hiệu của hai số liền nhau có kết quả bằng -1

=> Có số cặp là : 200 : 2 = 100 ( cặp)

=> Giá trị dãy số trên là 100 . (-1) = -100

\(a.20-\left[30-\left(5-1\right)^2\right]\)                             \(b.75-\left(3.5^2-4.2^3\right)\)

\(=20-\left[30-4^2\right]\)                                       \(=75-\left(75-4.2^3\right)\)

\(=20-14=6\)                                          \(=75-\left(75-32\right)\)

                                                                 \(=75-43=32\)

a) 4.5²-3.2³ = 2².5²-3.2³ = 2².(5²-3.2) =2².(25-6) = 4.19 = 76

b) 28.76 + 13.28 + 9.2

= 28. (76 + 13) + 18

= 28. 89 + 18

= 2492 + 18

= 2510

c) 1024: ( 17 .2⁵+15.2⁵)

= 2¹⁰ : [2⁵.(17+15)]

= 2¹⁰: [2⁵. 32]

= 2¹⁰: [2⁵.2⁵)

= 2¹⁰:2¹⁰

= 1

a) 4.5²-3.2³

=2².5²-3.2³

=2².(25-6)

=4.11

=44
 b) 28.76+13.28+9.2

=28.(76+13)+9.2

=28.89+9.2

=2.(1246+9)

=2.1255

=2510
 c) 1024:(17.2⁵+15.2⁵)

=1024:2⁵.(17+15)

=1024:32.32

=1

Thanks