\(\dfrac{5}{7}\cdot\dfrac{4}{15}+\dfrac{5}{7}\cdot\dfrac{11}{15}+\dfrac{2}{7}=\dfrac{5}{7}\cdot\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\)

\(=\dfrac{5}{7}\cdot\dfrac{15}{15}+\dfrac{2}{7}=\dfrac{5}{7}\cdot1+\dfrac{2}{7}=\dfrac{5}{7}+\dfrac{2}{7}=\dfrac{7}{7}=1\)

\(\dfrac{5}{7}\cdot\dfrac{4}{15}+\dfrac{5}{7}\cdot\dfrac{11}{15}+\dfrac{2}{7}\)

\(=\dfrac{5}{7}\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\)

\(=\dfrac{5}{7}.\dfrac{15}{15}+\dfrac{2}{7}\)

\(=\dfrac{5}{7}.1+\dfrac{2}{7}\)

\(=\dfrac{5}{7}+\dfrac{2}{7}\)

\(=\dfrac{7}{7}\)

\(=1\)

\(\dfrac{5}{7}\times\dfrac{4}{15}+\dfrac{5}{7}\times\dfrac{11}{15}+\dfrac{2}{7}\\ =\dfrac{5}{7}\times\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\\ =\dfrac{5}{7}\times1+\dfrac{2}{7}\\ =\dfrac{5}{7}+\dfrac{2}{7}\\ =\dfrac{7}{7}\\ =1\)

=5/4(4/3*7+4/7*11+...+4/81*85)

=5/4(1/3-1/7+1/7-1/11+...+1/81-1/85)

=5/4*82/255=41/102

1: =>3^x=81

=>x=4

2: =>2^x=8

=>x=3

3: =>x^3=2^3

=>x=2

4: =>x^20-x=0

=>x(x^19-1)=0

=>x=0 hoặc x=1

5: =>2^x=32

=>x=5

6: =>(2x+1)^3=9^3

=>2x+1=9

=>2x=8

=>x=4

7: =>x^3=115

=>\(x=\sqrt[3]{115}\)

8: =>(2x-15)^5-(2x-15)^3=0

=>(2x-15)^3*[(2x-15)^2-1]=0

=>2x-15=0 hoặc (2x-15)^2-1=0

=>2x-15=0 hoặc 2x-15=1 hoặc 2x-15=-1

=>x=15/2 hoặc x=8 hoặc x=7

1. Tìm số tự nhiên x biết:

1) \(3^x.3=243\)

\(3^x=243:3\)

\(3^x=81\)

\(3^x=3^4\)

\(\Rightarrow x=4\)

_____

2) \(7.2^x=56\)

\(2^x=56:7\)

\(2^x=8\)

\(2^x=2^3\)

\(\Rightarrow x=3\)

_____

3) \(x^3=8\)

\(x^3=2^3\)

\(\Rightarrow x=3\)

_____

4) \(x^{20}=x\)

\(x^{20}-x=0\)

\(x\left(x^{19}-1\right)=0\)

\(\Rightarrow x=0\) hoặc \(x=1\)

5) \(2^x-15=17\)

\(2^x=17+15\)

\(2^x=32\)

\(2^x=2^5\)

\(\Rightarrow x=5\)

_____

6) \(\left(2x+1\right)^3=9.81\)

\(\left(2x+1\right)^3=729=9^3\)

\(\rightarrow2x+1=9\)

\(2x=9-1\)

\(2x=8\)

\(x=8:2\)

\(\Rightarrow x=4\)

_____

7) \(x^6:x^3=125\)

\(x^3=125\)

\(x^3=5^3\)

\(\Rightarrow x=5\)

_____

8) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)

\(\rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)

\(\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=7\\x=8\end{matrix}\right.\)

_____

9) \(3^{x+2}-5.3^x=36\)

\(3^x.\left(3^2-5\right)=36\)

\(3^x.\left(9-5\right)=36\)

\(3^x.4=36\)

\(3^x=36:4\)

\(3^x=9\)

\(3^x=3^2\)

\(\Rightarrow x=2\)

_____

10) \(7.4^{x-1}+4^{x+1}=23\)

\(\rightarrow7.4^{x-1}+4^{x-1}.4^2=23\)

\(4^{x-1}.\left(7+4^2\right)=23\)

\(4^{x-1}.\left(7+16\right)=23\)

\(4^{x-1}.23=23\)

\(4^{x-1}=23:23\)

\(4^{x-1}=1\)

\(4^{x-1}=4^1\)

\(\rightarrow x-1=0\)

\(x=0+1\)

\(\Rightarrow x=1\)

Chúc bạn học tốt

a) 80- (4.52 - 3.23)

= 80- ( 208 -69 )

=80+139  quy tắc đổi dấu trừ tước dấu ngoặc

= 219

e: Ta có: \(2448:\left[119-\left(23-6\right)\right]\)

\(=2448:\left(119-23+6\right)\)

\(=2448:102=24\)

\(-8.4+19=-32+19=-13\)

\(-11.3-28=-33-28=-61\)

\(4.\left(-15\right)-18=-60-18=-78\)

\(19-4.\left(-12\right)=19+48=67\)

\(-25.\left(-3\right)-54=75-54=21\)

\(-16-7.\left(-4\right)+24\div\left(-8\right)=-16+28-3=9\)

\(15\div\left(-3\right)+30-7.\left(-3\right)=-5+30+21=46\)

\(-48\div\left(-4\right)+15.\left(-5\right)=12-75=-63\)

\(-29+65\div\left(-5\right)+23=-29-13+23=-19\)

\(15\div\left(-5\right)-17-12.\left(-5\right)=-3-17+60=40\)

\(28.\left(-4\right)-17=-112-17=-129\)

\(-19-7.4=-19-28=-47\)

\(-14.\left(-2\right)-16=28-16=12\)

\(13.\left(-3\right)-65-4.\left(-6\right)=-39-65+24=-80\)

\(-24-8.\left(-6\right)+28=-24+48+28=52\)

Chúc bạn hok tốt!!! tỷ tỷ

Giải giùm mk với @@@@

-8.4+19= -13

-11.3-28=-61

4.(-15)-18=-78

19-4.(-12)=67

-25.(-3)-54=21

-8.4+19=-32+19=-13

-11.3-28=-33-28=-61

4.(-15)-18=-60-18=-78

19-4.(-12)=19-(-48)=67

-25.(-3)-54=75-54=21

-16-7.(-4)+24:(-8)=-16+28-3=12-3=9

15:(-3)+30-7.(-3)=-5+30+21=25+21=46

-48:(-4)+12.(-5)=12-60=-48

-29+65:(-5)+23=-29-13+23=-19

15:(-5)-17-12.(-5)=-3-7+60=-10+60=50

28.(-4)-17=-112-17=-129

-19-7.4=-19-28=-47

-14.(-2)-16=28-16=12

13.(-3)-65-4.(-6)=-39-65+24=-104+24=-80

-24-8.(-6)+28=-24+48+28=24+28=52