5/7.4/15+5/7.11/15+2/7
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11 tháng 4 2023
\(\dfrac{5}{7}\cdot\dfrac{4}{15}+\dfrac{5}{7}\cdot\dfrac{11}{15}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\cdot\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\cdot\left(\dfrac{4+11}{15}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}.\dfrac{15}{15}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\cdot1+\dfrac{2}{7}\)
\(=\dfrac{5}{7}+\dfrac{2}{7}\)
\(=\dfrac{5+2}{7}\)
\(=\dfrac{7}{7}\)
\(=1\)
5 tháng 7 2023
=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
2 tháng 8 2023
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
VN
Võ Ngọc Phương
VIP
2 tháng 8 2023
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
17 tháng 9 2021
a) 80- (4.52 - 3.23)
= 80- ( 208 -69 )
=80+139 quy tắc đổi dấu trừ tước dấu ngoặc
= 219
17 tháng 9 2021
e: Ta có: \(2448:\left[119-\left(23-6\right)\right]\)
\(=2448:\left(119-23+6\right)\)
\(=2448:102=24\)
QA
5 tháng 3 2020
\(-8.4+19=-32+19=-13\)
\(-11.3-28=-33-28=-61\)
\(4.\left(-15\right)-18=-60-18=-78\)
\(19-4.\left(-12\right)=19+48=67\)
\(-25.\left(-3\right)-54=75-54=21\)
\(-16-7.\left(-4\right)+24\div\left(-8\right)=-16+28-3=9\)
\(15\div\left(-3\right)+30-7.\left(-3\right)=-5+30+21=46\)
\(-48\div\left(-4\right)+15.\left(-5\right)=12-75=-63\)
\(-29+65\div\left(-5\right)+23=-29-13+23=-19\)
\(15\div\left(-5\right)-17-12.\left(-5\right)=-3-17+60=40\)
\(28.\left(-4\right)-17=-112-17=-129\)
\(-19-7.4=-19-28=-47\)
\(-14.\left(-2\right)-16=28-16=12\)
\(13.\left(-3\right)-65-4.\left(-6\right)=-39-65+24=-80\)
\(-24-8.\left(-6\right)+28=-24+48+28=52\)
Chúc bạn hok tốt!!! tỷ tỷ
5 tháng 3 2020
-8.4+19= -13
-11.3-28=-61
4.(-15)-18=-78
19-4.(-12)=67
-25.(-3)-54=21
5 tháng 3 2020
-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
\(\dfrac{5}{7}\cdot\dfrac{4}{15}+\dfrac{5}{7}\cdot\dfrac{11}{15}+\dfrac{2}{7}=\dfrac{5}{7}\cdot\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\cdot\dfrac{15}{15}+\dfrac{2}{7}=\dfrac{5}{7}\cdot1+\dfrac{2}{7}=\dfrac{5}{7}+\dfrac{2}{7}=\dfrac{7}{7}=1\)
\(\dfrac{5}{7}\cdot\dfrac{4}{15}+\dfrac{5}{7}\cdot\dfrac{11}{15}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\left(\dfrac{4}{15}+\dfrac{11}{15}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}.\dfrac{15}{15}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}.1+\dfrac{2}{7}\)
\(=\dfrac{5}{7}+\dfrac{2}{7}\)
\(=\dfrac{7}{7}\)
\(=1\)