2x+2+2x=5.27
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\(\frac{2^7.6^{15}}{16^5.27^6}=\frac{2^7.\left(2.3\right)^{15}}{\left(2^4\right)^5.\left(3^3\right)^6}=\frac{2^7.2^{15}.3^{15}}{2^{20}.3^{18}}=\frac{2^{22}.3^{15}}{2^{20}.3^{18}}=\frac{2^2.1}{1.3^3}=\frac{4}{27}\)
= 314/273.42/65
sau đó bạn rút gon đi
314/273=314/39=35 và 42/65=1/486
ssau đó: nhân 2 số vs nhau=1/2 hehehehe
a: =>\(4\cdot3^x\cdot\dfrac{1}{3}+2\cdot3^x\cdot9=4\cdot3^6+2\cdot3^9\)
=>3^x(4*1/3+2*9)=3^6(4+2*3^3)
=>3^x*58/3=3^6*58
=>3^x/3^6=3
=>x-6=1
=>x=7
b: =>\(2^x\cdot\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)=2^7\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)\)
=>2^x=2^7
=>x=7
\(=\frac{3^7\cdot\left(2^4\right)^3}{\left(2^2\cdot3\right)^5\cdot\left(3^3\right)^2}\)
\(=\frac{3^7\cdot2^{12}}{2^{10}\cdot3^5\cdot3^6}\)
\(=\frac{3^7\cdot2^{12}}{2^{10}\cdot3^{11}}\)
\(=\frac{2^2}{3^4}\)
\(=\frac{4}{81}\)
\(\frac{3^7.16^3}{12^5.27^2}=\frac{3^7.\left(2^4\right)^3}{\left(2^2.3\right)^5.\left(3^3\right)^2}=\frac{3^7.2^{12}}{2^{10}.3^5.3^6}=\frac{3^7.2^{12}}{2^{10}.3^{11}}=\frac{2^2}{3^4}=\frac{4}{81}\)
5 . 27 - 5 x = 4 . 25
5 . 27 - 5 x = 100
5 . ( 27 - x ) = 100
27 - x = 100 : 5
27 - x = 20
x = 27 - 20
x = 7.
\(\frac{9^5.27^3}{3^{18}}=\frac{\left(3^2\right)^5.\left(3^3\right)^3}{3^{18}}=\frac{3^{10}.3^9}{3^{18}}=\frac{3^{19}}{3^{18}}=3^{19-18}=3^1=3\)
k mk nha !
\(\frac{9^5.27^3}{3^{18}}=\frac{\left(3^2\right)^5.\left(3^3\right)^3}{3^{18}}=\frac{3^{10}.3^9}{3^{18}}=3^{19-18}=3^1=3.\)
\(\frac{4^3.2^5.9^7}{2^5.27^2}=\frac{\left(2^2\right)^3.2^5.\left(3^2\right)^7}{2^5.\left(3^3\right)^2}=\frac{2^{11}.3^{14}}{2^5.3^6}=2^6.3^8\)
Bài làm :
\(\frac{4^3.2^5.9^7}{2^5.27^2}\)
\(=\frac{\left(2^2\right)^3.2^5.\left(3^2\right)^7}{2^5.\left(3^3\right)^2}\)
\(=\frac{2^6.3^{14}}{3^6}\)
\(=2^6.3^8\)
Học tốt
2x+2+2x=5.27
=> 2x + 2 + 2x = 135
= 5x = 135
x = 135 : 5
x = 27
2x+2+2x=5.27
\(\Rightarrow\)4x=137
\(\Rightarrow\)x=34,25