5^2x-3-2^5.2=5^2.3
a, 9.3x=81
b,2x:4=1
c,2x-64=2
d,2x=16
e,3^2.3^4.3x=3^10
f,2x+4.2x=5.2^5
a ) 9 . 3x = 81
3x = 9
x = 3
b ) 2x : 4 = 1
2x = 4
x = 2
c ) 2x - 64 = 2
2x = 66
x = 33
d ) 2x = 16
x = 8
e ) 3 ^ 2 . 3 ^ 4 . 3x = 3 ^ 10
3 ^ ( 2 + 4 + x ) = 3 ^ 10
=> 2 + 4 + x = 10
x = 4
f ) 2x + 4 . 2x = 5 . 2 ^ 5
2x + 8 x = 160
10x = 160
x = 16
\(a.9.3x=81\)
\(3x=81:9\)
\(3x=9\)
\(x=9:3\)
\(x=3\)
Tính giá trị biểu thức : A= \(\dfrac{5\left(2^2.3^2\right)^9.\left(2^2\right)^6-2\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
Ta có: \(A=\dfrac{5\cdot\left(2^2\cdot3^2\right)^9\cdot\left(2^2\right)^6-2\cdot\left(2^2\cdot3\right)^{14}\cdot3^4}{5\cdot2^{28}\cdot3^{18}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{5\cdot2^{18}\cdot3^{18}\cdot2^{12}-2\cdot2^{28}\cdot3^{14}\cdot3^4}{5\cdot2^{28}\cdot3^{18}-7\cdot2^{28}\cdot3^{18}\cdot2}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2\cdot2^{28}\cdot3^{18}}{2^{28}\cdot3^{18}\cdot\left(5-7\cdot2\right)}\)
\(=\dfrac{2^{28}\cdot3^{18}\cdot\left(5\cdot2^2-2\right)}{2^{28}\cdot3^{18}\cdot\left(5-14\right)}\)
\(=\dfrac{20-2}{-9}=\dfrac{18}{-9}=-2\)
\(\frac{5.\left(2^2.3^2\right)^9\left(2^2\right)^6-2. \left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(\frac{5.\left(2^2.3^2\right)^9\left(2^2\right)^6-2.\left(2^2.3\right)14.3^{ }^4}{22}\)
\(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
A=\(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{2^2\left(5.2^{28}.3^{18}\right)-2^{29}.3^{18}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{2^2-1}{1-7}\)
\(A=\frac{3}{-6}=\frac{1}{-2}=-\frac{1}{2}\)
bài này ư hơi dễ đó nhìn sơ qua là biết
tớ đang cần gấp :5.<2^2.3^2>^9.<2^2>^6-2.<2^2.3>^14>3^4/5.2^28.3^18-7.2^29.3^18
Tính
(5.23-2.32):11+5-/-5/
\(\left(5.2^3-2.3^2\right):11+5-\left|-5\right|\\ =\left(5.8-2.9\right):11+5-5\\ =\left(40-18\right):11\\ =22:11\\ =2\)
5.(2^2.3^2)^9.(2^2)^6-2.(2^2.3)^14.3^4/5.2^28.3^18-7.2^29.3^18
Tính M=5.(2^2.3^2)^9.(2^2)6-2.(2^2.3)^14.3^6/5.2^38.3^19-7.2^29.3^18
\(M=\dfrac{5\cdot2^{18}\cdot3^{18}\cdot2^{12}-2\cdot2^{28}\cdot3^{14}\cdot3^6}{5\cdot2^{38}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}{2^{28}\cdot3^{18}\left(5\cdot3-7\cdot2\right)}=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{28}\cdot3^{18}}=2\)