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9.3^2 .1/81 . 27
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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)\(2^2.4.\frac{32}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)
\(\frac{2^2\cdot4\cdot32}{\left(-2\right)^2\cdot2^5}=\frac{2^2\cdot4\cdot2^5}{4\cdot2^5}=2^2=4\)
\(9\cdot3^2\cdot\frac{1}{81}\cdot27=9\cdot9\cdot\frac{1}{81}\cdot27=81\cdot\frac{1}{81}\cdot27=27\)
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
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) \(9\cdot3^3\cdot\dfrac{1}{81}\cdot27\)
\(=3^2\cdot3^3\cdot3^{-4}\cdot3^3\)
\(=3^4\)
9.3^x+1= 81
3^2.3^x+1= 81
3^x+3=81
3^x+3=3^4
Suy ra x+3=4
x= 4-3
x=1
\(9.3^{x+1}=81\)
\(\Rightarrow3^{x+1}=81:9\)
\(\Rightarrow3^{x+1}=9\)
\(\Rightarrow3^{x+1}=3^2\)
\(\Rightarrow x+1=2\)
\(\Rightarrow x=1\)
9.32.1/81.9.3 <=> 92/81. 33= 33
4.32:(23.1/24) <=> 4.42.2.2 <=> 4.42.4 = 44
34.35:1/27 = 34.35.33= 312
=9.9..1/81.27
=81.1/81.27
=1.27
=27
9.3^2.1/81.27
=9.9.1/81.27
=81.1/81.27
=1.27
=27