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a, 2/1/3:1/3=7/9:x b, x:1/3=12/99:15/90
7 = 7/9 : x x :1/3= 8/11
x = 7/9:7 x = 8/11 * 1/3
x = 1/9 x = 8/33
c, 0,15:x=3/1/3:2,25 d, 3/4:0,75=x:75/90
0,15:x =40/27 1 =x:75/90
x = 0,15:40/27 x = 1*75/90
x = 81/800 x = 75/90
e, x/-15=-60/x f, -2/x=-x/8
=>x*x=-15*(-60) => (-2)*8=x*-x
=>x2=900 => -16 = -x2
=>x2=302 hoặc x2=(-30)2 => 16=x2
=> x=30 hoặc x= -30 => x2=42 hoặc x2=(-4)2
=> x=4 hoặc x=-4
a)\(2\frac{1}{3}:\frac{1}{3}=\frac{7}{9}:x\)
\(\frac{7}{3}\times3=\frac{7}{9}:x\)
\(7=\frac{7}{9}:x\)
\(x=\frac{7}{9}:7\)
\(x=\frac{7}{9}\times\frac{1}{7}\)
\(x=\frac{1}{9}\)
a)\(\frac{20^3}{40^3}=\frac{1^3}{2^3}=\frac{1}{8}\)
b) \(\frac{390^4}{130^4}=\frac{3^4}{1^4}=\frac{81}{1}=81\)
c) \(\frac{3^2}{0,375^2}=\frac{8^2}{1^2}=\frac{64}{1}=64\)
1. sai dấu nhé
2.a, \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)
b, \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(\frac{4}{5}\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\cdot2\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\right)^5\cdot2^5}{\left(\frac{2}{5}\right)^5\cdot\frac{2}{5}}=2^5\div\frac{2}{5}=32\cdot\frac{5}{2}=80\)
c, \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)
\(\frac{1}{2}:2x=\frac{-1}{3}\)
\(2x=\frac{1}{2}:\frac{-1}{3}=\frac{1}{2}.\frac{3}{-1}=-\frac{3}{2}\)
\(x=\frac{-3}{2}:2=-\frac{3}{2}.\frac{1}{2}=-\frac{3}{4}\)
a)\(\frac{1}{4}-\frac{1}{3}x=\frac{2}{5}-\frac{3}{2}x\)
\(\Leftrightarrow\)\(\frac{15-20x}{60}=\frac{24-90x}{60}\)
\(\Leftrightarrow15-20x=24-90x\)
\(\Leftrightarrow-20x+90x=24-15\)
\(\Leftrightarrow70x=9\)
\(\Leftrightarrow x=\frac{9}{70}\)
c) (1/2-1/6)*3^x+4-4*3^x=3^16-4*3^13
=1/3*3^x*3^4-4*3^x=3^13*3^3-4*3^13
=27*3^x-4*3^x=3^13*(27-4)
=3^x*(27-4)=3^13*(27-4)
=>x=13
a) x/8 − 2/y = 3/4 .
=> x/8 - 2/y = 6/8 .
=> x - 2 = 6
=> x = 6 + 2 .
=> x = 8 .
=> 8/8 - 2/y = 6/8 .
=> 2/y = 8/8 - 6/8 .
=> 2/y = 2/8 /
=> y =8 .
b) x/4 − 2/y = 3/2 .
=> x/4 - 2/y = 6/4 .
=> x - 2 = 6 .
=> x = 6 + 2 .
=> x = 8 .
=> 8/4 - 2/y = 6/4 .
=> 2/y = 8/4 - 6/4 .
=> 2/y = 2/4 .
=> y = 4 .
c) 1/x - 1/y = 1/x . 1/y .
=> y/x.y - x/x.y = 1/x.y .
=> y-x/x.y = 1/x.y .
=> y-x =1 .
=> y là các số nguyên hơn x 1 đơn vị .
x là các nguyên ít hơn y 1 đơn vị .
\(\frac{390^4}{90^3}=\frac{30^4.13^4}{30^3.3^3}=\frac{30.13^4}{3^3}=\frac{10.13^4}{9}\)
\(\frac{390^4}{90^3}=\frac{13^4.30^4}{3^3.30^3}=\frac{13^4.30}{27}\)