\(a,3^3+3^2-\left(2^7:2^5+7^8:7^7\right)=27+9-\left(2^2+7\right)=36-11=25\)

\(b,27.77+27.27-27=27\left(77+27-1\right)=27.103=2781\)

\(c,52:\left(43-30\right)+144-16=52:13+128=4+128=132\)

\(f,3^2.101-3^2.101^0=3^2\left(101-101^0\right)=9\left(101-1\right)=9.100=900\)

a.=27+9-(2^2+7^1)                                                 =36-(4+7)                                                               =36-11                                                                   =25

3³+3²-(2⁷:2⁵+7⁸:7⁷)

=27+9-(2²+7)

=36-(4+7)

=36-11

=25

b.bạn tự lm nha

c.52:(43-30)+144-16

=52:13+144-16

=4+144-16

=148-16

=132

d.174:{2[36+(4²-23)]}

=174:{2[36+(16-23)]}

=174:{2[36+-7]}

=174:{2.29}

=174:58

=3

a) (3a + 1)³ = (3a)³ + 3.(3a)².1 + 3.3a.1² + 1³

                   = 27a³ + 27a² + 9a + 1

b) (4 - 2b)³ = 4³ - 3.4².2b + 3.4.(2b)² - (2b)³

                   = 64 - 96b + 48b² - 8b³

Bài 1:

a) \(\dfrac{5^{16}\cdot27^7}{125^5\cdot9^{11}}\)

\(=\dfrac{5^{16}\cdot\left(3^3\right)^7}{\left(5^3\right)^5\cdot\left(3^2\right)^{11}}\)

\(=\dfrac{5^{16}\cdot3^{21}}{5^{15}\cdot3^{22}}\)

\(=\dfrac{5}{3}\)

b) \(\left(0,2\right)^2\cdot5-\dfrac{2^3\cdot27}{4^6\cdot9^5}\)

\(=0,2\cdot5\cdot0,2-\dfrac{2^3\cdot3^3}{\left(2^2\right)^6\cdot\left(3^2\right)^5}\)

\(=\dfrac{1}{5}-\dfrac{2^3\cdot3^3}{2^{12}\cdot3^{10}}\)

\(=\dfrac{1}{5}-\dfrac{1}{2^9\cdot3^7}\)

\(=\dfrac{2^9\cdot3^7}{2^9\cdot3^7\cdot5}-\dfrac{5}{2^9\cdot3^7\cdot5}\)

\(=\dfrac{2^9\cdot3^7-5}{2^9\cdot3^7\cdot5}\) 

c) \(\dfrac{5^6+2^2\cdot25^3+2^3\cdot125^2}{26\cdot5^6}\)

\(=\dfrac{5^6\cdot\left(1+2^2+2^3\right)}{26\cdot5^6}\)

\(=\dfrac{1+2^2+2^3}{26}\)

\(=\dfrac{1+4+8}{26}\)

\(=\dfrac{13}{26}\)

\(=\dfrac{1}{2}\)

Bài 2: 

Theo đề ta có:

\(\left(a\cdot\dfrac{1}{2}+\dfrac{3}{4}\right):-\dfrac{1}{4}=-\dfrac{15}{4}\)

\(\Rightarrow\left(a\cdot\dfrac{1}{2}+\dfrac{3}{4}\right)=-\dfrac{15}{4}\cdot-\dfrac{1}{4}\)

\(\Rightarrow a\cdot\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{15}{16}\)

\(\Rightarrow a\cdot\dfrac{1}{2}=\dfrac{15}{16}-\dfrac{3}{4}\)

\(\Rightarrow a\cdot\dfrac{1}{2}=\dfrac{3}{16}\)

\(\Rightarrow a=\dfrac{3}{16}:\dfrac{1}{2}\)

\(\Rightarrow a=\dfrac{3}{8}\) 

1:

a: \(=\dfrac{5^{16}\cdot3^{21}}{3^{22}\cdot5^{15}}=\dfrac{1}{3}\cdot5=\dfrac{5}{3}\)

b: \(=0.04\cdot5-\dfrac{2^3\cdot3^3}{3^6\cdot2^{12}}\)

\(=0.2-\dfrac{1}{3^3\cdot2^9}=\dfrac{1}{5}-\dfrac{1}{3^3\cdot2^9}=\dfrac{3^3\cdot2^9-5}{5\cdot3^3\cdot2^9}\)

c: \(=\dfrac{5^6+4\cdot5^6+2^3\cdot5^6}{26\cdot5^6}=\dfrac{1+4+8}{26}=\dfrac{13}{26}=\dfrac{1}{2}\)

2:

Theo đề, ta có:

\(\left(a\cdot\dfrac{1}{2}+\dfrac{3}{4}\right):\dfrac{-1}{4}=\dfrac{-15}{4}\)

=>\(\dfrac{1}{2}a+\dfrac{3}{4}=\dfrac{15}{16}\)

=>1/2a=15/16-12/16=3/16

=>a=3/8

\(a,27.5^2-25.127=27.25-25.127=25\left(27-127\right)=25.\left(-100\right)=-2500\\ b,\dfrac{-5}{12}+\dfrac{3}{4}+\dfrac{1}{-3}=\dfrac{-5}{12}+\dfrac{9}{12}-\dfrac{4}{12}=\dfrac{0}{12}=0\)

a = -2500

b = 0

\(a,\dfrac{2}{3}-\dfrac{5}{6}+\dfrac{3}{4}\)

\(=(\dfrac{2}{3}+\dfrac{3}{4})-\dfrac{5}{6}\)

\(=\dfrac{7}{12}\)

\(b,\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{-4}{13}.\dfrac{6}{7}\)

\(=\dfrac{6}{7}.(\dfrac{8}{13}-\dfrac{4}{13})+(\dfrac{6}{13}.\dfrac{9}{7})\)

\(=(\dfrac{6}{7}.\dfrac{4}{13})+\dfrac{54}{91}\)

\(=\dfrac{24}{91}+\dfrac{54}{91}\)

\(=\dfrac{78}{91}=\dfrac{6}{7}\)

\(c,19.(-26)\)

\(=-494\)

a) `2/3 - 5/6 +3/4`

`=4/6-5/6+3/4`

`=-1/6+3/4`

`=-4/24+18/24`

`=14/24=7/12`

b) `6/7 .8/13 +6/13 .9/7 -4/13 .6/7`

`=6/7 .(8/13-4/13) + 6/13 .9/7`

`=6/7 . 4/13 + 6/13 . 9/7`

`= 6/13 .4/7 +6/13 .9/7`

`=6/13 . (4/7+9/7)`

`=6/13 . 13/7`

`=6/7`

c) `19.(-26)`

`=(1-20).(20+6)`

`=20+6-400-120`

`=-494`

\(a,=4x^2-4x+1-4x^2+4-x^2-x+6=-x^2-5x+11\\ b,=8x^3+27-8x^3+72x=72x+27\)

a) \(=4x^2-4x+1-4\left(x^2-1\right)-\left(x^2-2x+3x-6\right)=4x^2-4x+1-4x^2+4-x^2-x+6=-x^2-5x+11\)

b) \(=8x^3+27-8x\left(x^2-9\right)=8x^3+27-8x^3+72x=72x+27\)

Bài 2: 

a: =>x-65=-20

hay x=45

giúp mình nha mình cần gấp, cảm ơn mọi người trước

a) (2x+3)²

=4x^2+12x+9

b) (x-2/5)³

=x^3-1.2x^2+0.48x-0.064

c) (4x²+1)³

=(4x^2)^3+12x^4+12x^2+1

a: =1/6+14/6-3/6=12/6=2

b: =-13/8+5/4:(-5/4)

=-13/8-1=-21/8

c: =-3/8(2/5+14/5)

=-3/8*16/5

=-6/5

d: =5/34(1/4+11/9-2/9+29/4)

=5/34*(15/2+1)

=5/34*17/2
=5/4

a)

\(-12:\left(\dfrac{3}{4}-\dfrac{5}{6}\right)^2\)

\(=-12:\left(\dfrac{18}{24}-\dfrac{20}{24}\right)^2\)

\(=-12:\left(\dfrac{-1}{12}\right)^2\)

\(=-12:\dfrac{1}{144}\)

\(=-12\times\dfrac{144}{1}\)

\(=-1728\)

b)

\(\left(2^2:\dfrac{4}{3}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\left(4\times\dfrac{3}{4}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\left(3-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\dfrac{5}{2}\times\dfrac{6}{5}-17\)

\(=3-17\)

\(=-14\)

a)\(=-12:\left(-\dfrac{1}{12}\right)^2\)
\(=-12:\dfrac{1}{144}\)\(=-12.144=-1728\)
b)\(=\left(8:\dfrac{4}{3}-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\left(6-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\dfrac{11}{2}.\dfrac{6}{5}-17=\dfrac{33}{5}-17=\dfrac{33}{5}-\dfrac{85}{5}=-\dfrac{2}{5}\)