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<=>\(\left|\dfrac{1}{2}-2x\right|=\dfrac{5}{3}< =>\left[{}\begin{matrix}\dfrac{1}{2}-2x=\dfrac{5}{3}\\\dfrac{1}{2}-2x=\dfrac{-5}{3}\end{matrix}\right.< =>\left[{}\begin{matrix}2x=\dfrac{-7}{6}\\2x=\dfrac{13}{6}\end{matrix}\right.< =>\left[{}\begin{matrix}x=\dfrac{-7}{12}\\x=\dfrac{13}{12}\end{matrix}\right.\)
\(\left|\dfrac{1}{2}+2x\right|+\dfrac{2}{3}=\dfrac{7}{3}\)
\(\left|\dfrac{1}{2}+2x\right|=\dfrac{7}{3}-\dfrac{2}{3}=\dfrac{5}{3}\)
⇔\(\left[{}\begin{matrix}\dfrac{1}{2}+2x=\dfrac{5}{3}\\\dfrac{1}{2}+2x=-\dfrac{5}{3}\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=\dfrac{7}{12}\\x=-\dfrac{13}{12}\end{matrix}\right.\)
Vậy ...
`@` `\text {Ans}`
`\downarrow`
`a)`
`16^3 = (4^2)^3 = 4^6`
`b)`
`25^6 = (5^2)^6 = 5^12`
`c)`
`81^5 = (9^2)^5 = 9^10`
`d)`
`27^5 = (3^3)^5 = 3^15`
`e)`
`64^3*16^3`
`= (4^3)^3*(4^2)^3`
`= 4^9*4^6`
`= 4^15`
_____
`@` Nâng lên lũy thừa
CT: `(a^m)^n=a^m*a^n = a^(m*n)`
\(=-7\cdot\left[16+\left(-36\right):\left(-9\right)\right]+125=-77\cdot20+125=-140+125=-15\)
a) \(\dfrac{-5}{9}-\dfrac{4}{15}+\dfrac{2}{9}-\dfrac{11}{15}\)
\(=\left(\dfrac{-5}{9}+\dfrac{2}{9}\right)-\left(\dfrac{4}{15}+\dfrac{11}{15}\right)\)
\(=\dfrac{-3}{9}-\dfrac{15}{15}\)
\(=-\dfrac{1}{3}-1\)
\(=-\dfrac{4}{3}\)
b) \(\dfrac{-8}{13}-\dfrac{7}{16}+\dfrac{21}{13}-\dfrac{1}{6}\)
\(=\left(\dfrac{-8}{13}+\dfrac{21}{13}\right)-\dfrac{7}{16}-\dfrac{1}{6}\)
\(=\dfrac{13}{13}-\dfrac{29}{48}\)
\(=1-\dfrac{29}{48}\)
\(=\dfrac{19}{48}\)
c) \(\dfrac{-15}{25}-\dfrac{14}{21}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=\dfrac{-3}{5}-\dfrac{2}{3}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=\left(\dfrac{-3}{5}+\dfrac{8}{5}\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}\right)\)
\(=\dfrac{5}{5}-\dfrac{7}{3}\)
\(=1-\dfrac{7}{3}\)
\(=-\dfrac{4}{3}\)
a: =-5/9+2/9-11/15-4/15
=-3/9-1
=-12/9=-4/3
b: =-8/13+21/13-7/16-1/6
=1-1/6-7/16
=5/6-7/16
=19/48
c: =-15/25+8/5-2/3-5/3
=-7/3+1
=-4/3
52-2(3x-6)=10 3636:(12x-91)=36 2x+3=32
2(3x-6)=52-10 12x-91=3636:36 2x=32-3
2(3x-6)=42 12x-91=101 2x=29
3x-6=42:2 12x=101+91 x=29:2 (loại vì x thuộc N)
3x-6=21 12x=192
3x=21+6 x=192:12=16
3x=27
x=27:3=9
2x.8=512 (24-x)3=64
2x=512:8 (24-x)3=43
2x=64 => 24-x=4
x=64:2=32 x=24-4=20
a,52-2(3x-6)=10
2(3x-6)=52-19=42
3x-6=42:2=21
3x=21+6=27
x=27:3
x=9
b,3636:(12x-91)=36
12x-91=3636:36=101
12x=101+91=192
x=192:12
x=16
c,2x+3=32
2x=32-3=29
x=29:2
x=29/2.Vì x thuộc tập số tự nhiên=> không tồn tại x thỏa mãn đề bài
d,2x.8=512
2x=512:8=64
x=64:2
x=32
e,(24-x)^3=64
(24-x)^3=4^3
=>24-x=4
x=24-4
x=20
\(2.\left(3x-8\right)=64:2^3\)
\(2.\left(3x-8\right)=64:8\)
\(2.\left(3x-8\right)=8\)
\(3x-8=4\)
\(3x=12\)
\(x=4\)
Ta có : \(2.\left(3x-8\right)=64:2^3\)
\(\Rightarrow3x-8=64:2^3:2\)
\(\Rightarrow3x-8=64:16\)
\(\Rightarrow3x-8=4\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
Vậy x = 4