thu gọn 7^3*7^5

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1.

a) (a³)⁵ : a¹⁰ . (a³)⁴ = a¹⁵ : a¹⁰ . a¹² = a⁵ . a¹² = a¹⁷

b) (2³)⁴ . (2⁴)³ : 2²⁶ = 2¹² . 2¹² : 2²⁶ = 2²⁴ : 2²⁶ = 2²⁴ : 2²⁴ : 2² = 1 : 2² = 1/ 2² ( tính theo cách lớp 6 )

c) 4⁹ : 4⁴ . (a²)⁶ = 4⁵ . a¹²

   a,A=-(8a+21b-45)+(23a-11b-54)-(-32a-61b-11)

= -8a + 21b - 45 + 23a - 11b - 54 +32a -61b - 11

=47a - 51b - 110

b,B=-3(12a-21b+23)-4(-22a+15b-41)+(-11a-b+29)

=-36a + 63b - 69 + 88a - 60b + 164 - 11a - b + 29

=41a + 2b + 124

c,C=(-18a-43b+49)-2(54a-27b+25)+3(-15a+22b-17)

=-18a - 43b +49 - 108a + 54b - 50 - 45a + 66b - 51

=-171a + 77b - 52

BN KACURA GIỎI QUÁ!

  1-2+3-4+...+99-100
=(1-2)+(3-4)+...+(99-100)   (có 50 nhóm)
=(-1)+(-1)+...+(-1) (có 50 số -1)
=> (-1)50
=> -50

`5`

`a, -7/21 +(1+1/3)`

`=-7/21 + ( 3/3 + 1/3)`

`=-7/21+ 4/3`

`=-7/21+ 28/21`

`= 21/21`

`=1`

`b, 2/15 + ( 5/9 + (-6)/9)`

`= 2/15 + (-1/9)`

`= 1/45`

`c, (9-1/5+3/12) +(-3/4)`

`= ( 45/5-1/5 + 3/12)+(-3/4)`

`= ( 44/5 + 3/12)+(-3/4)`

`= 9,05 +(-0,75)`

`=8,3`

`6`

`x+7/8 =13/12`

`=>x= 13/12 -7/8`

`=>x=5/24`

`-------`

`-(-6)/12 -x=9/48`

`=> 6/12 -x=9/48`

`=>x= 6/12-9/48`

`=>x=5/16`

`---------`

`x+4/6 =5/25 -(-7)/15`

`=>x+4/6 =1/5 + 7/15`

`=> x+ 4/6=10/15`

`=>x=10/15 -4/6`

`=>x=0`

`----------`

`x+4/5 = 6/20 -(-7)/3`

`=>x+4/5 = 6/20 +7/3`

`=>x+4/5 = 79/30`

`=>x=79/30 -4/5`

`=>x= 79/30-24/30`

`=>x= 55/30`

`=>x= 11/6`

\(5)\)

\(A=\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)\)

\(A=\dfrac{-7}{21}+\dfrac{4}{3}\)

\(A=\dfrac{-7}{21}+\dfrac{28}{21}\)

\(A=1\)

\(--------------\)

\(B=\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)\)

\(B=\dfrac{2}{15}+\dfrac{-1}{9}\)

\(B=\dfrac{18}{135}+\dfrac{-15}{135}\)

\(B=\dfrac{1}{45}\)

\(------------\)

\(C=9-\dfrac{1}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)

\(C=\dfrac{44}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)

\(C=\dfrac{528}{60}+\dfrac{15}{60}+\dfrac{-3}{4}\)

\(C=\dfrac{181}{20}+\dfrac{-3}{4}\)

\(C=\dfrac{181}{20}+\dfrac{-15}{20}\)

\(C=\dfrac{83}{10}\)

\(6)\)

\(a)\) \(x+\dfrac{7}{8}=\dfrac{13}{12}\)

\(x=\dfrac{13}{12}-\dfrac{7}{8}\)

\(x=\dfrac{104}{96}-\dfrac{84}{96}\)

\(x=\dfrac{5}{24}\)

\(b)\) \(\dfrac{-6}{12}-x=\dfrac{9}{48}\)

\(\dfrac{-1}{2}-x=\dfrac{3}{16}\)

\(x=\dfrac{-1}{2}-\dfrac{3}{16}\)

\(x=\dfrac{-8}{16}-\dfrac{3}{16}\)

\(x=\dfrac{-11}{16}\)

\(c)\) \(x+\dfrac{4}{6}=\dfrac{5}{25}-\left(-\dfrac{7}{15}\right)\)

\(x+\dfrac{4}{6}=\dfrac{5}{25}+\dfrac{7}{15}\)

\(x+\dfrac{4}{6}=\dfrac{75}{375}+\dfrac{105}{375}\)

\(x+\dfrac{4}{6}=\dfrac{12}{25}\)

\(x=\dfrac{12}{25}-\dfrac{4}{6}\)

\(x=\dfrac{72}{150}-\dfrac{100}{150}\)

\(x=\dfrac{-14}{75}\)

\(d)\) \(x+\dfrac{4}{5}=\dfrac{6}{20}-\left(-\dfrac{7}{3}\right)\)

\(x+\dfrac{4}{5}=\dfrac{6}{20}+\dfrac{7}{3}\)

\(x+\dfrac{4}{5}=\dfrac{18}{60}+\dfrac{140}{60}\)

\(x+\dfrac{4}{5}=\dfrac{79}{30}\)

\(x=\dfrac{79}{30}-\dfrac{4}{5}\)

\(x=\dfrac{79}{30}-\dfrac{24}{30}\)

\(x=\dfrac{11}{6}\)

Bài 2 :

a ) a - ( b + a ) = a - b - a = a - a - b = -b

b ) ( a + b + c ) - ( a + b - c ) = a + b + c - a - b - c = ( a - a ) + ( b - b ) + ( c - c ) = 0

c ) ( a + b - c ) + ( a - b + c ) - ( b + c - a ) = a + b - c + a - b + c - b - c + a = ( a + a + a ) + ( b - b - b ) + ( -c + c -c ) = a³ - b - c

Bài 2 câu a,b

Giải:

A=(a+b)−(a−b)+(a−c)−(a+c)A=(a+b)−(a−b)+(a−c)−(a+c)

⇔A=a+b−a+b+a−c−a−c⇔A=a+b−a+b+a−c−a−c

⇔A=(a−a+a−a)+(b+b)+(−c−c)⇔A=(a−a+a−a)+(b+b)+(−c−c)

⇔A=2b−2c⇔A=2b−2c

⇔A=2(b−c)⇔A=2(b−c)

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