Lời giải:

\(P=\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\\ =\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\\ =\frac{2^{19}.3^9+2^{18}.3^9.5}{2^{19}.3^9+2^{20}.3^{10}}\\ =\frac{2^{18}.3^9(2+5)}{2^{19}3^9(1+2.3)}\\ =\frac{1}{2}\)

sao nhieu qua zay

b: \(\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)

\(=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+3^8\cdot2^{10}\cdot5}\)

\(=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^{11}\cdot3^9}\)

\(=\dfrac{1}{2}\cdot\dfrac{-2}{3}=\dfrac{-1}{3}\)

Sửa đề câu a) phải là (-2020/2021)⁰

Xin lỗi mn

\(a,=\dfrac{3}{4}+\dfrac{15}{6}\cdot\dfrac{1}{5}-\dfrac{1}{36}\cdot9-\dfrac{2020}{2021}=\dfrac{3}{4}+\dfrac{1}{2}-\dfrac{1}{4}-\dfrac{2020}{2021}=1-\dfrac{2020}{2021}=\dfrac{1}{2021}\\ b,=\dfrac{2^{10}\cdot3^8-2\cdot2^9\cdot3^9}{2^{10}\cdot3^8+2^8\cdot3^8\cdot2\cdot5}=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^9\cdot3^8\left(2+5\right)}=\dfrac{2\left(-2\right)}{3}=-\dfrac{4}{3}\)

a,=1

b, =13+(-12+11+10+9)+(8-7-6+5)+(-4+3+2-1)

   =13+0+0+0

  = 13

Tính nhanh:

a,-69+53+46+(-94)+(-14)+78

= -16 + 46 - 94 + (-14) + 78

= 30 - 94 + (-14) + 78

=-64 + (-14) + 78

= -78 + 78

= 0

b,13-12+11+10-9+8-7-6+5-4+3+2-1

= 13 - ( 12 + 1 ) - ( 11 + 2 ) - ( 10 - 3 ) - ( 9 + 4 ) - ( 8 + 5 ) - ( 7 + 6 )

= 13 - 13 - 13 - 13 - 13 - 13 + 13

= 0 + 13

= 13

học tốt ạ

a. -37 + 54 + -70+ -163 + 246

= ( 54 + 246) + (-37 - 163 )  - 70

= 300 -200 -  70 = 30

b. -359+ 181+ -123+ 350+ -172

=(-178)+227+(-172)

=49+(-172)

=-123

c.-69+ 53+ 46+ -94+-14+ 78

=(-16)+(-48)+64

=-64+64

=0

d. 13- 12+ 11+10- 9+ 8- 7- 6+ 5- 4+ 3+2- 1

= 13 - (13 - 1) + (13 - 2) + (13 - 3) - (13 - 4) + (13 - 5) - (13 - 6) - (13 - 7) + (13 - 8) - (13 - 9) + (13 - 10) + (13 - 11) - (13 - 12)

= 13 - 13 + 1 + 13 - 2 + 13 - 3 - 13 + 4 + 13 - 5 - 13 + 6 - 13 + 7 + 13 - 8 - 13 + 9 + 13 - 10 + 13 - 11 - 13 + 12

= (13 - 13 + 13 + 13 - 13 + 13 - 13 - 13 + 13 - 13 + 13 + 13 - 13) + (1 - 2 - 3 + 4 - 5 + 6 + 7 - 8 + 9 - 10 - 11 = 12)

= 13 + 0

= 13

a) \(-37+54+\left(-70\right)+\left(-163\right)+246\)

\(=\left(246+54\right)-\left(37+163\right)-70\)

\(=300-200-70\)

\(=100-70=30\)

b) \(-359+181+\left(-123\right)+350+\left(-172\right)\)

\(=-359+181-123+350-172\)

\(=\left(-359+350\right)+\left(181-172\right)-123\)

\(=-9+9-123\)

\(=-123\)

c) \(-69+53+46+\left(-94\right)+\left(-14\right)+78\)

\(=-69+53+46-94-14+78\)

\(=\left(-69+78\right)+\left(53-14\right)+\left(46-94\right)\)

\(=9+39-48\)

\(=48-48=0\)

d) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)

\(=\left(13-12\right)+\left(11+10\right)-\left(9-8\right)-\left(7+6\right)+\left(5-4\right)+\left(3+2-1\right)\)

\(=1+21-1-13+1+5\)

\(=21-13+1+5\)

\(=8+1+5=9+5=14\)

a: =17-70-163+246

=-43-163+246

=246-206

=40

a) -37 + 54 + (-70) + (-163) +246 

= (-37-163) + (54+246) - 70 

= -200 + 300 -70

= 30

chuc bn hoc tot

b) -359 +181+(-123)+ 350+(-172)

= ( -359+350) +  [181+(-172)] + (-123)

=-9 + 9 + (-123)

= -123

Còn câu c thì sao

a, -359+181+(-123)+350+(-172)

=((-359)+350)+((-172)+181)+(-123)

=(-9)+(9)+(-123)

=-123

b,-69+53+46+(-94)+(-14)+78

=((-69)+(-94)+(-14))+53+46+78

=(-177)+177

=0

c,13-12+11+10-9+8-7-6+5-4+3+2-1

=(13-12-1)+(11-7-4)+(10+3+2+8+5)+(-9+(-6))

=0+0+28+(-15)

=28-15

=13.

D=(-199-201)-200=-400-200=-600

\(a,-37+54+\left(-70\right)+\left(-163\right)+246\)

\(=\left[-37+\left(-163\right)\right]+\left(54+246\right)+\left(-70\right)\)

\(=-200+300-70=30\)

\(b,-359+181+\left(-123\right)+350+\left(-172\right)\)

\(=-178-123+178\)

\(=\left(-178+178\right)-123\)

\(=-123\)

\(c,-69+53+46+\left(-94\right)+\left(-14\right)+78\)

\(=-16+\left(-48\right)-92\)

\(=-16-140\)

\(=-156\)