1. [(-x)^3]^4 2.(-1/2)^8.2^3
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KN
26 tháng 3 2019
\(x\div4\frac{1}{3}=-2,5\)
\(\Leftrightarrow x\div\frac{13}{3}=\frac{-5}{2}\)
\(\Leftrightarrow x=\frac{-5}{2}.\frac{13}{3}\)
\(\Leftrightarrow x=\frac{-65}{6}\)
\(x\div\frac{-3}{5}=\frac{-10}{21}\)
\(\Leftrightarrow x=\frac{-10}{21}.\frac{-3}{5}\)
\(\Leftrightarrow x=\frac{30}{105}\)
\(\Leftrightarrow x=\frac{2}{7}\)
KN
26 tháng 3 2019
\(\frac{2}{3}x-\frac{1}{2}=\frac{1}{10}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{1}{10}+\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{6}{10}\)
\(\Leftrightarrow x=\frac{6}{10}\div\frac{2}{3}\)
\(\Leftrightarrow x=\frac{18}{20}\)
\(\Leftrightarrow x=\frac{9}{10}\)
\(\frac{1}{2}x+\frac{1}{2}=\frac{5}{2}\)
\(\Leftrightarrow\frac{1}{2}\left(x+1\right)=\frac{5}{2}\)
\(\Leftrightarrow\left(x+1\right)=\frac{5}{2}\div\frac{1}{2}\)
\(\Leftrightarrow\left(x+1\right)=5\)
\(\Leftrightarrow x=5-1\)
\(\Leftrightarrow x=4\)
TL
2
22 tháng 3 2017
a) x -1/4 = -3/8 . 2/5
x - 1/4 = -3/20
x = -3/20 + 1/4
x = 1/10
b) x/126 = -7/24 . -6/11
x/126 = 7/44
\(\Rightarrow\)x = rỗng
QN
25 tháng 7 2017
a) \(A=2^{n-1}+2.2^{n+3}-8.2^{n-4}-16.2^n\)
\(=2^{n-1}+2^{n+3+1}-2^{n-4+3}-2^{n+4}\)
\(=2^{n-1}+2^{n+4}-2^{n-1}-2^{n+4}\)
\(=0\)
b) \(B=\left(3^{n+1}-2.2^n\right)\left(3^{n+1}+2.2^n\right)-3^{2n+2}+\left(8.2^{n-2}\right)^2\)
\(=\left(3^{n+1}-2^{n+1}\right)\left(3^{n+1}-2^{n+1}\right)-3^{2n+2}+2^{2n+2}\)
\(=3^{2n+2}-2^{2n+2}-3^{2n+2}+2^{2n+2}\)
\(=0\)
11 tháng 7 2018
a) 10 - x : 2 = 1
x: 2 = 9
x = 18
b) x:4 + 3 x 2 = 7
x:4 + 6 = 7
x:4 = 1
x = 4
c) 2: x + 5 = 6
2: x = 1
x = 2
11 tháng 7 2018
+4.10-x:2=1
40-x:2=1
x:2=40-1
x:2=39
x:2=19,5
+5.x:4+3*2=7
5.x:4+6=7
5.x:4=7-6=1
5.x=1.4=4
x=4:5
x=0,8
+6.2:x+5=6
12:x=6-5
12:x=1
x=12:1
x=12
+7.2*x*3*5=30
14.x.15=30
14.x=2
x=2:14
x=1/7
+8.2*x:10*2=1
16.x:20=1
16.x=20
x=20:16
x=1,25
9.18:x-5*2=8
10.5*5-2:x=24
12 tháng 10 2020
5^x-2-3^2=16-(2^12-2^12)
5^x-2-3^2=16-0
5^x-2-3^2=16
5^x-2-9=16
5^x-2=16+9
5^x-2=25
5^x-2=5^2
x-2=2
suy ra x=4
LD
11 tháng 7 2018
a,
\(A=2^{n-1}+2.2^{n+3}-8.2^{n-4}-16.2^n\)
\(=2^{n-1}+2^{n+3+1}-2^{n-4+3}-2^{n+4}\)
\(=2.2^{n-1}+2.2^{n+4}=2^n+2^{n+5}\)
b,
\(B=\left(3^{n+1}-2.2^n\right)\left(3^{n+1}+2.2^n\right)-3^{2n+2}+\left(8.2^{n-2}\right)^2\)
\(=\left(3^{n+1}\right)^2-\left(2.2^n\right)^2-\left(3^{n+1}\right)^2+\left(2^{n-2+3}\right)^2\)
\(=-2^{n+1}+2^{n+1}=0\)
16 tháng 7 2021
Bài 9:
a) Ta có: \(A=\left(2x+y\right)^2-\left(2x+y\right)\left(2x-y\right)+y\left(x-y\right)\)
\(=4x^2+4xy+y^2-4x^2+y^2-xy-y^2\)
\(=3xy-y^2\)
\(=3\cdot\left(-2\right)\cdot3-3^2=-18-9=-27\)
b) Ta có: \(B=\left(a-3b\right)^2-\left(a+3b\right)^2-\left(a-1\right)\left(b-2\right)\)
\(=a^2-6ab+9b^2-a^2-6ab-9b^2-ab+2a+b-2\)
\(=-13ab+2a+b-2\)
\(=-13\cdot\dfrac{1}{2}\cdot\left(-3\right)+2\cdot\dfrac{1}{2}+\left(-3\right)-2\)
\(=\dfrac{31}{2}\)
16 tháng 7 2021
Bài 7:
a) \(498^2=\left(500-2\right)^2=250000-2000+4=248004\)
b) \(93\cdot107=100^2-7^2=10000-49=9951\)
c) \(163^2+74\cdot163+37^2=\left(163+37\right)^2=200^2=40000\)
d) \(1995^2-1994\cdot1996=1995^2-1995^2+1=1\)
e) \(9^8\cdot2^8-\left(18^4-1\right)\left(18^4+1\right)\)
\(=18^8-18^8+1=1\)
f) \(125^2-2\cdot125\cdot25+25^2=\left(125-25\right)^2=100^2=10000\)
\(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}\)
\(\left(\dfrac{-1}{2}\right)^8\times2^3=\dfrac{1}{256}\times8=\dfrac{1}{32}\)
1) \(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}=x^{12}\)
2) \(\left(-\dfrac{1}{2}\right)^8\cdot2^3=\dfrac{1}{256}\cdot8=\dfrac{1}{32}\)