a) \(\dfrac{3}{35}+\dfrac{7}{20}+\dfrac{32}{35}+\dfrac{13}{20}\)

Áp dụng tính chất giao hoán, kết hợp của phép cộng, ta được:

\(\left(\dfrac{3}{35}+\dfrac{32}{35}\right)+\left(\dfrac{7}{20}+\dfrac{13}{20}\right)\)

\(=1+1\)

\(=2\)

b) \(\dfrac{18\cdot15\cdot56}{42\cdot27\cdot25}=\dfrac{2\cdot3\cdot3\cdot5\cdot3\cdot4\cdot2\cdot7}{2\cdot3\cdot2\cdot2\cdot3\cdot9\cdot5\cdot5}\)

\(=\dfrac{2\cdot2\cdot3\cdot3\cdot3\cdot4\cdot5\cdot7}{2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot9}=\dfrac{3\cdot2\cdot2\cdot7}{2\cdot5\cdot9}=\dfrac{42}{45}\)

a. \(R=R1+R2+R3=5+6+15=26\Omega\)

b. \(I=I1=I2=I3=1A\left(R1ntR2ntR3\right)\)

\(\left\{{}\begin{matrix}U=IR=1.26=26\left(V\right)\\U1=I1.R1=1.5=5\left(V\right)\\U2=I2.R2=1.6=6\left(V\right)\\U3=I3.R3=1.15=15\left(V\right)\end{matrix}\right.\)

c. \(R'=U:I'=26:0,5=52\Omega\)

\(\Rightarrow R_x=R'-\left(R1+R2\right)=52-\left(5+6\right)=41\Omega\)

2:

a: 27(x-45)=0

=>x-45=0

=>x=45

b: (x-47)-115=0

=>x-47=115

=>x=162

d: x-105:21=15

=>x-5=15

=>x=20

1:

a: =35*(34+86)+65*(75+45)

=120*35+120*65

=120*100=12000

b: \(=39\left(53+47\right)-21\left(53+47\right)\)

=18*100=1800

= 4/3 x 6/5 + 3/10

= 8/5 +3/10

= 19/10

cám ơn nha

k mik nha

\(a,=3\sqrt{5}-2\sqrt{5}-\sqrt{5}+5\sqrt{5}=5\sqrt{5}\\ b,=9\sqrt{a}-6\sqrt{a}-\sqrt{a}=2\sqrt{a}\\ c,Sửa:3\sqrt[3]{27}-3\sqrt[3]{-8}-3\sqrt[3]{-125}\\ =3\cdot3-3\left(-2\right)-3\left(-5\right)\\ =9+6+15=30\)

\(=\dfrac{5.3.1}{7.4.2}=\dfrac{15}{14.4}=\dfrac{15}{56}\)

\(=\dfrac{3.5.14}{4.7.15}=\dfrac{3.5.7.2}{2.2.7.3.5}=\dfrac{1}{2}\)

a; \(=\dfrac{5\cdot3\cdot1}{7\cdot4\cdot2}=\dfrac{15}{56}\)

b: \(=\dfrac{3\cdot5\cdot14}{4\cdot7\cdot15}=\dfrac{210}{420}=\dfrac{1}{2}\)

\(\dfrac{15}{56}\)

\(\dfrac{1}{2}\)

3^15>26.3^15

bn giải thích đk

  5 + 5/3 + 5/9 + 5/27 + 5/81

= 5/1 + 5/3 + 5/9 + 5/27 + 5/81

= 405/81 + 135/81 + 15/81 + 5/81

= 605/81

\(\frac{605}{81}\)nha bạn

A=5+5/3+5/9+5/27+5/81
=5.(1+1/3+1/9+1/27+1/81)
=5(1+1/1.3+1/3^2+1/3^3+1/3^4)
Đat M=1+1/1.3+1/3^2+1/3^3+1/3^4
-->3M=3+1+1/3+1/3^2+1/3^3
-->3M-M=(3+1+1/3+1/3^2+1/3^3) - (1+1/1.3+1/3^2+1/3^3+1/3^4)
-->2M=3-1/3^4
-->M=121/81
--->A=5.121/81=605/81

\(\frac{-1}{2}-\frac{1}{3}-\frac{1}{4}-.........-\frac{1}{20}+\frac{3}{2}+\frac{4}{3}+\frac{5}{4}+...........+\frac{21}{20}\)

=\(\left(\frac{-1}{2}+\frac{3}{2}\right)+\left(\frac{-1}{3}+\frac{4}{3}\right)+\left(\frac{-1}{4}+\frac{5}{4}\right)+..................+\left(\frac{-1}{20}+\frac{21}{20}\right)\)

=\(1+1+1+.........+1\)(19 số 1)

=19