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1 tháng 1 2017

\(\frac{3^{15}.4+5.3^{15}}{3^{16}}=\frac{3^{15}\left(4+5\right)}{3^{16}}=\frac{3^{15}.9}{3^{16}}=\frac{3^{15}.3^2}{3^{16}}=\frac{3^{17}}{3^{16}}=3\)

1 tháng 1 2017

\(\frac{3^{15}.4+5.3^{15}}{3^{16}}=\frac{3^{15}.\left(4+5\right)}{3^{16}}=\frac{9}{3}=3\)

Đặt \(A=\frac{1.2+2.4+3.6+4.8+5.10}{4+6.8+9.12+12.16+15.20}\)

\(\Rightarrow A=\frac{1.\left(1+2\right)+2.\left(1+2\right)+3.\left(1+2\right)+4.\left(1+2\right)+5.\left(1+2\right)}{4+2.\left(3+4\right)+3.\left(3+4\right)+4.\left(3+4\right)+5.\left(3+4\right)}\)

\(\Rightarrow A=\frac{\left(1+2+3+4+5\right).\left(1+2\right)}{4+\left(2+3+4+5\right).\left(3+4\right)}\)

\(\Rightarrow A=\frac{\left(1+5\right).5:2.\left(1+2\right)}{4+\left(2+5\right).4:2.\left(3+4\right)}\)

\(\Rightarrow A=\frac{6.5:2.3}{4+7.4:2.7}=\frac{45}{4+98}=\frac{45}{102}=\frac{15}{34}\)

Vậy \(A=\frac{15}{34}\)

Chúc bn học tốt

29 tháng 12 2015

1. -x+20 = -(-15)-8+13

=> -x=15-8+13-20

=> -x=0

=> x=0

2. -(-10)+x=-13+(-9)+(-6)

=> 10+x=-13-9-6

=> x = -13-9-6-10

=> x = -38

3. 8-(-12)+10=-(-14)-x

=> 8+12+10=14-x

=> x = 14-8-12-10

=> x = -16

4. -(+12)+(-x)-(-3)=5-(-7)

=> -12-x+3=5+7

=> -x=5+7+12-3

=> -x=21

=> x=-21

5. 14-x+(-10)=-(-9)+(+15)

=> 14-x-10=9+15

=> -x=9+15-14+10

=> -x=20

=> x=-20

6. 12-(-17)+(-3)=-5+x

=> 12+17-3+5=x

=> x=31

7. x-(-19)-(+32)=14-(+16)

=> x+19-32=14-16

=> x=14-16+32-19

=> x=11

8. x-|-15|-|7|=-(-9)+|-5|

=> x-15-7=9+5

=> x=9+5+7+15

=> x=36

9. 15-x+17=13-(-21)

=> 15-x+17=13+21

=> -x=13+21-15-17

=> -x=2

=> x=-2

10. -|-5|-(-x)+4=3-(-25)

=> -5+x+4=3+25

=> x=3+25-4+5

=> x=29

4 tháng 8 2017

a, \(\Leftrightarrow\)\(2x=-32\)

\(\Leftrightarrow\)\(x=-16\)

b,\(\Leftrightarrow\)\(25-\left(5x-3\right)=64\)

\(\Leftrightarrow\)\(5x-3=-39\)

\(\Leftrightarrow\)\(5x=-36\)

\(\Leftrightarrow\)\(x=-7,2\)

c,\(\Leftrightarrow\)\(25-\left(x-5\right)=15\)

\(\Leftrightarrow\)\(x-5=10\)

\(\Leftrightarrow\)\(x=15\)

\(a,\frac{3}{20}=\frac{3\times3}{20\times3}=\frac{9}{60}\)

\(\frac{7}{30}=\frac{7\times2}{30\times2}=\frac{14}{60}\)

\(\frac{4}{15}=\frac{4\times4}{15\times4}=\frac{16}{60}\)

\(c,\frac{7}{-30}=\frac{7\times4}{\left(-30\right)\times4}=\frac{28}{-120}\)

\(\frac{3}{-40}=\frac{3\times3}{\left(-40\right)\times3}=\frac{9}{-120}\)

\(-\frac{11}{30}=\frac{\left(-11\right)\times4}{30\times4}=-\frac{44}{120}\)