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a,9<3x<39.3-2
\(\Leftrightarrow3^2< 3< 3^7\)
\(\Rightarrow S=\left\{3;4;5;6\right\}\)
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a/\(2.4.16.32.2^4=2.2^2.2^4.2^5.2^4=2^{16}\)
b/\(9.3^3.\dfrac{1}{81}=3^2.3^3.3^{-4}=3\)
a) \(2\cdot4\cdot16\cdot32\cdot2^4\)
\(=2^1\cdot2^2\cdot2^4\cdot2^5\cdot2^4\)
\(=2^{16}\)
b) \(9\cdot3^3\cdot\dfrac{1}{81}\cdot27\)
\(=3^2\cdot3^3\cdot3^{-4}\cdot3^3\)
\(=3^4\)
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a) \(2.4.16.32.2^4=2.2^2.2^4.2^5.2^4=2^{16}\)
b) \(\left(4.2^5\right):\left(2^3.\frac{1}{16}\right)=\left(2^2.2^5\right):\left(2^3.\left(\frac{1}{2}\right)^4\right)=2^7:\frac{1}{2}=2^8\)
c) \(9.3^3.\frac{1}{81}.27=3^2.3^3.\left(\frac{1}{3}\right)^4.3^3=3^4\)
d)\(2^2.4.\frac{32}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)
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\(\frac{2^2\cdot4\cdot32}{\left(-2\right)^2\cdot2^5}=\frac{2^2\cdot4\cdot2^5}{4\cdot2^5}=2^2=4\)
\(9\cdot3^2\cdot\frac{1}{81}\cdot27=9\cdot9\cdot\frac{1}{81}\cdot27=81\cdot\frac{1}{81}\cdot27=27\)
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a) \(9\cdot3^2\cdot\dfrac{1}{81}=\dfrac{9\cdot9}{81}=\dfrac{81}{81}=1\)
b) \(2\dfrac{1}{2}+\dfrac{4}{7}:\left(-\dfrac{8}{9}\right)\)\(=\dfrac{5}{2}+\dfrac{4}{7}\cdot\left(-\dfrac{9}{8}\right)\)
\(=\dfrac{5}{2}-\dfrac{9}{14}\)\(=\dfrac{35}{14}-\dfrac{9}{14}=\dfrac{26}{14}=\dfrac{13}{7}\)
c) \(3,75\cdot7,2+2,8\cdot3,75=3,75\left(7,2+2,8\right)=3,75\cdot10=37,5\)
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A)4x2^5:(2^3.1/16)=2^2.2^5:(8.1/16)=2^7:1/2=2^7.2=2^8
B)3^2.2^5.(2/3)^2=3^2.2^5.4/9=2^5.9.4/9=2^5.4=2^5.2^2=2^7
C) 9.3^3.1/81.3^2=3^3.9.9.1/81=3^3.81.1/81=3^3
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2^n/32 = 4 => 2^n = 4 . 32 = 128 => n =7
27^n . 9^n = 9^27 . 81
=> (27.9)^n = 9^27 . 9^2
=> 243^n = 9^54
=> 243^n = 243^1458
vay n=1458
1/9 . 3^4 . 3^n+1 = 9^4
=> 9 . 3^n+1 = 6561
=> 3^n+1 = 6561 /9
=> 3^n+1 = 729
=> n = 5
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Ta có :
\(\frac{2^9.3^{10}+2^8.3^7.135}{2^{10}.3^{10}+2^9.3^{11}}\)\(=\frac{2^9.3^{10}+2^8.3^7.3^3.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^9.3^{10}+2^8.3^{10}.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^8.3^{10}.\left(2+5\right)}{2^8.3^{10}.\left(2^2+2.3\right)}=\frac{7}{10}\)
Ủng hộ mk nha !!!! ***
\(=\frac{2^9.3^{10}+2^8.3^7.3^3.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^8.3^{10}.\left(2+5\right)}{2^8.3^{10}.\left(2^2+2.3\right)}=\frac{7}{10}\)
Đề có phải là thế này ko
9.3^9.\(\frac{1}{81}\)