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minh lam bai nay roi nhung minh ko co nha nen minh ko nho
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\(\frac{2x+1}{3}=\frac{5}{2}\)
\(2x+1=\frac{5.3}{2}=\frac{15}{2}\)
2x= 15/2 - 1 = 13/2
x = 13/2 : 2
x = 13/4
b) 2x + 2x+1 + 2x+2 + 2x+3 = 480
2x.(1+ 2 +22 + 23) = 480
2x . 15 = 480
2x = 480 : 15 = 32
2x = 25 => x = 5
c) \(\left(\frac{3x}{7}+1\right):\left(-4\right)=-\frac{1}{28}\)
\(\frac{3x}{7}+1=\frac{-1}{28}.\left(-4\right)=\frac{1}{7}\)
\(\frac{3x}{7}=\frac{1}{7}-1=-\frac{6}{7}\)
< = > 3x= -6 => x = -2
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Ta có:\(\frac{\left(3^4+3^3\right).\left(3^4+3^3\right)}{9^2}\)=\(\frac{\left(3^4+3^3\right)^2}{9^2}\)=\(\frac{3^4+3^3}{9}\)=\(\frac{81+27}{9}\)=\(\frac{108}{9}\)=12
Rất chi tiết, cái thứ 3 mình bỏ dấu mũ 2 vì cả ưử và mẫu đều có mũ 2 nên ta chia đều cho cả 2 số mũ đó nên mới ra \(\frac{3^4+3^3}{9}\)bạn ạ! Chúc bạn thành công!
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=>B=\(\frac{12.\left(\frac{1}{13}+\frac{1}{1313}+\frac{1}{131}+\frac{1}{1313}\right)}{15.\left(\frac{1}{13}+\frac{1}{1313}+\frac{1}{131}+\frac{1}{1313}\right)}\)
=>B=\(\frac{12}{15}\)
=>B=\(\frac{4}{5}\)
B = \(\frac{12.\left(\frac{1}{13}+\frac{1}{1313}+\frac{1}{131}-\frac{1}{1313}\right)}{15.\left(\frac{1}{13}+\frac{1}{131}-\frac{1}{1313}+\frac{1}{1313}\right)}\)
=\(\frac{12.\left(\frac{1}{13}+\frac{1}{131}\right)}{15.\left(\frac{1}{13}+\frac{1}{131}\right)}\)
=\(\frac{12}{15}=\frac{4}{5}\)
Vậy B = 4/5.
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\(\frac{1}{6}.\frac{2}{5}.\frac{25}{7}=\frac{1.2.25}{6.5.7}=\frac{1.2.5.5}{2.3.5.7}=\frac{5}{21}\)
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a) \(8⋮\left(x-2\right)\) \(\)
Ta có : 8 chia hết cho x - 2
=> x - 2 thuộc Ư(8) = { 1 ; 2 ; 4 ; 8 }
=> x thuộc { 3 ; 4 ; 6 ; 10 }
Vậy x thuộc { 3 ; 4 ; 6 ; 10 }
b) \(21⋮\left(2x+5\right)\)
Ta có : 21 chia hết cho 2x + 5
=> 2x + 5 thuộc Ư(21) = { 1 ; 3 ; 7 ; 21 }
=> 2x thuộc { - 4 ; - 2 ; 2 ; 16 }
=> x thuộc { - 2 ; - 1 ; 1 ; 8 }
Vậy x thuộc { - 2 ; - 1 ; 1 ; 8 }
c) \(4-\left(27-3\right)=x-\left(13-4\right)\)
\(4-24=x-9\)
\(\Rightarrow-20=x-9\)
\(x=-20+9\)
\(x=-11\)
Vậy \(x=-11\)
d) \(7-x=8+\left(-7\right)\)
\(7-x=1\)
\(x=7-1\)
\(x=6\)
Vậy \(x=6\)
e) \(2x-6=\left(-3\right)+\left(-7\right)\)
\(2x-6=-10\)
\(2x=-10+6\)
\(2x=-4\)
\(x=-4:2\)
\(x=-2\)
Vậy \(x=-2\)
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- Cách 1 : Tính thường
\(3.4^2-16:2^2=3.16-16:4=48-4=44\)
- Cách 2 : Tính nhanh
\(3.4^2-16:2^2=3.16-16.\frac{1}{4}=16.\left(3-\frac{1}{4}\right)=16.\frac{11}{4}=44\)
\(=\frac{2^{14}.2^8}{3.2^{15}-2^8-5.2^2.2^{20}}=\frac{2^{22}}{3.2^{15}-2^8-5.2^{22}}=\frac{2^{22}}{2^{22}.\left(3.2^{-7}-2^{-14}-5\right)}=\frac{1}{3.2^{-7}-2^{-14}-5}\)
\(\frac{4^7\times2^8}{3\times2^{15}-16^2-5\times2^2\times\left(2^{10}\right)^2}=\frac{\left(2^2\right)^7\times2^8}{3\times2^{15}-\left(2^4\right)^2-5\times2^2\times2^{20}}=\frac{2^{14}\times2^8}{3\times2^{15}-2^8-5\times2^{22}}=\frac{2^{14}\times2^8}{2^8\times\left(3\times2^7-1-2^{14}\times5\right)}\)