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\(\left(15.3^{42}-9^{20}\right):27^3\)
\(=\left(5.3.3^{42}-3^{40}\right):3^9\)
\(=\left(5.3^{43}-3^{40}\right):3^9\)
\(=3^{40}\left(5.3^3-1\right):3^9\)
\(=3^{31}\left(5.3^3-1\right)\)
\(=134.3^{31}\)
\(\left(15.3^{42}-9^{20}\right):27^3=15.3^{42}:27^3-9^{20}:27^3\\ \\ =15.3^{42}:\left(3^3\right)^3-9^{20}:9^3:3^3=15.3^{33}-\left(3^2\right)^{20}:\left(3^2\right)^3:3^3\)
\(=15.3^{33}-3^{40}:3^6:3^3=15.3^{33}-3^{31}\\ \\ =15.3^2.3^{31}-3^{31}=135.3^{31}-3^{31}\\ \\ =3^{31}.\left(135-1\right)=3^{31}.134\)
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Bài 2 Tìm x: a) 27-(27-x)=45 ,
27+x-27=45
x=45
b) -18+42=42-2x
24=42-2x
2x=42-14
2x=28
x=14
1)
a) (-38).47+147.38
= 38.(147 - 47)
= 38 . 100 = 3800
b) 37.42-142.37+15
= 37.(42 - 142) + 15
= 37. (-100) + 15
= -3700 + 15 = -3685
c) 46.115-14.46+(-46)
= 46.(115 - 14 - 1)
= 46 . 100 = 4600
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1) 42/35 - [ 33/14 . 21/22 - ( 54/25 : 27/25 - 7/10 )]
= 42/35 - ( 9/4-13/10)
=42/35-19/20
=1/4
2) a) 5/21 . x/34 = 35/102
x/34=35/102 : 5/21
x/34=49/34
=> x=34
Vậy x=34
b) 15/x . 21/13 = 45/91
15/x=45/91 : 21/13
15/x=15/49
=> x=49
Vậy x=49
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\(\frac{7}{x}=\frac{y}{27}=-\frac{42}{54}\)
\(\Leftrightarrow\frac{7}{x}=\frac{y}{27}=-\frac{7}{9}\)
Có \(\frac{7}{x}=-\frac{7}{9}\)
\(\Leftrightarrow x=-9\)
Lại có \(\frac{y}{27}=-\frac{7}{9}\)
\(\Leftrightarrow x=-21\)
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a, \(\frac{42}{54}\)= \(\frac{7}{x}\)=> 42x=7.54 => x=\(\frac{7.54}{42}\)= 9. Vậy x=9 b, \(\frac{x}{15}\)= \(\frac{-2}{3}\)=> 3x= (-2).15 => x= \(\frac{\left(-2\right).15}{3}\)= -10. Vậy x=-10 c, \(\frac{x}{27}\)= \(\frac{-5}{9}\)=> 9x=(-5).27 => x\(\frac{\left(-5\right).27}{9}\)= -15 Thay x = -15 vào biểu thức ta có: \(\frac{-15}{27}\)= \(\frac{-45}{y}\)=> -15y= (-45).27 => y= \(\frac{\left(-45\right).27}{-15}\)=81 Vậy x=-15, y = -81 .KÍCH NKA PẠN
138 x 42 + 27 x 45 - 42 x 38 + 27 x 55
= 42 x ( 138 - 38 ) + 27 x ( 45 + 55 )
= 42 x 100 + 27 x 100
= 4200 + 2700
= 6900
Học tốt
138 x 42 + 27 x 45 - 42 x 38 + 27 x55
=138 x 42 - 42 x 38+ 27 x 45+ 27 x55
=42x(138-38)+27x(45+55)
=42x100+27x100
=4200+2700=6900