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1. a) \(45x-37=53\)
\(45x=90\)
\(x=2\)
vay \(x=2\)
b) \(\frac{x}{9}+500=600\)
\(\frac{x}{9}=100\)
\(\frac{x}{9}=\frac{900}{9}\)
\(\Rightarrow x=900\)
vay \(x=900\)
c) \(576-x=139\)
\(x=576-139\)
\(x=437\)
vay \(x=437\)
d) \(\left(48+x\right)-27=79\)
\(48+x=79+27\)
\(48+x=106\)
\(x=58\)
vay \(x=58\)
2. \(2^5.2^7.2^9=2^{5+7+9}=2^{21}\)
\(3^9.3^2.3=3^{9+2+1}=3^{12}\)
\(10^9:10^7=10^{10-7}=10^3\)
3). \(2.2.2.2.2.2=2^6\)
\(2.3.2.2.3.3.3=2^3.3^4\)
\(10.9.10.10.10.9.9=10^4.9^3\)
1 a) x= 720
b ) x=chín trăm
c)x= 437
d)x=58
bài2 a)= 221 b)312 c ) =102
bài 3 a)=26 b)=22 nhân 34 c )= 103 nhân chín mũ 3
a) \(\frac{3x}{-4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-3}{2}\)
=> \(\frac{-3x}{4}=\frac{-6}{4}\)
=> \(-3x=-6\)
=> \(x=\left(-6\right):\left(-3\right)=2\)
b) \(\frac{2}{x}=\frac{y}{10}=\frac{4}{-5}\)
=> \(\frac{2}{x}=\frac{y}{10}=\frac{-4}{5}\)
+) \(\frac{2}{x}=\frac{-4}{5}\)
=> \(\left(-4\right)\cdot x=2\cdot5\)
=> \(\left(-4\right)\cdot x=10\)
=> \(x=\frac{10}{-4}=\frac{-10}{4}=\frac{-5}{2}\)
+) \(\frac{y}{10}=\frac{-4}{5}\)
=> \(5\cdot y=-40\)
=> \(y=\left(-40\right):5=-8\)
Vậy \(x=-\frac{5}{2},y=-8\)
c) \(\frac{7}{-x}=\frac{5}{y}=\frac{2}{34}\)
=> \(\frac{-7}{x}=\frac{5}{y}=\frac{1}{17}\)
+) \(\frac{-7}{x}=\frac{1}{17}\Rightarrow x=\left(-7\right)\cdot17=-119\)
+) \(\frac{5}{y}=\frac{1}{17}\Rightarrow y=5\cdot17=85\)
Vậy \(x=-119,y=85\)
d) \(\frac{x^2}{4}=16\)
=> \(x^2=16\cdot4=64\)
=> \(x\in\left\{8;-8\right\}\)
e) \(\frac{3}{x^3}=\frac{4}{-36}\)
=> \(\frac{3}{x^3}=\frac{1}{-9}=\frac{-1}{9}\)
=> \(x^3=3:\left(-\frac{1}{9}\right)=-27\)
=> \(x=-3\)
Vậy x = -3
\(A,\frac{4^9.36+64}{16^4.100}=\frac{\left(2^2\right)^9.2^2.3^2+2^6}{\left(2^4\right)^4.2^2.5^2}=\frac{2^{20}.3^2+2^6}{2^{18}.5^2}=\frac{2^6\left(2^{14}.3^2+1\right)}{2^{18}.5^2}=\frac{2^{14}.3^2+1}{2^{12}.5^2}=\frac{147457}{102400}\)
B,
\(\frac{11.3^{22}.3-9^{13}}{\left(2.3^{14}\right)^2}=\frac{11.3^{22}-\left(3^2\right)^{13}}{2^2.3^{28}}=\frac{11.3^{22}-3^{26}}{2^2.3^{28}}=\frac{3^{22}\left(11.1-3^4\right)}{2^2.3^{28}}=\frac{11-81}{2^2.3^6}=-\frac{70}{2916}=-\frac{35}{1456}\)
c,
\(\frac{45^3.20^4.18}{180^5}=\frac{\left(3^2.5\right)^3.\left(5.2^2\right)^4.2.3^2}{\left(2^2.3^2.5\right)^5}=\frac{3^6.5^3.5^4.2^8.2.3^2}{2^{10}.3^{10}.5^5}=\frac{3^8.2^{10}.5^7}{2^{10}.3^{10}.5^5}=\frac{5^2}{3^2}=\frac{25}{9}\)
\(\frac{4^9\cdot36+64}{16^4\cdot100}=\frac{2^6\cdot147457}{2^{16}\cdot100}=\frac{147457}{2^{10}\cdot100}\)
\(\frac{11\cdot3^{22}\cdot3-9^{13}}{2^2\cdot3^{28}}=\frac{3^{23}\left(11-3^3\right)}{2^2\cdot3^{28}}=\frac{-16\cdot3^{23}}{2^2\cdot3^{28}}=\frac{-4}{243}\)
\(\frac{45^3\cdot20^4\cdot18}{180^5}=\frac{3^8\cdot2^9\cdot5^7}{2^{10}\cdot3^{10}\cdot5^5}=\frac{25}{18}\)
a) 54 x 22=220 : lộn đề :V
b) 2x+29=210
=> 2x+29=1024
=> 2x=1024-29
=> 2x= 995
2 mũ một số tụ nhiên ko thể bằng một số lẻ => sai đề
c) (x+1).3=64
=> (x+1)=21,333333333333333
=> x=61/3
sao toàn đề kiểu gì thế
Chứng tỏ:2+23+24+.......+210 chia hết cho 3 và 31.
với
\(A=5+5^2+5^3+....+5^9+5^{10}\)
\(A=\left(5+5^2\right)+\left(5^3+5^4\right)+....+\left(5^9+5^{10}\right)\)
\(A=5\left(1+5\right)+5^3\left(1+5\right)+...+5^9\left(1+5\right)\)
\(A=5.6+5^3.6+....+5^9.6\)
\(A=6\left(5+5^3+....+5^9\right)\)
vì \(6⋮6\Rightarrow A=6\left(5+5^3+....+5^9\right)\)
\(\Rightarrow A⋮6\)
chúc bạn học giỏi ^^
Ta có :
A=5+52+53...+59+510
A = ( 5 + 52 ) + ( 53 + 54 ) + ... + ( 59 + 510 )
A = 5 . (1 + 5 ) + 53 . ( 1 + 5 ) + ... + 59 . ( 1 + 5 )
A = 5 . 6 + 53 . 6 + ... + 59 . 6
A = 6 . ( 5 + 53 + ... + 59 ) \(⋮\)6
Vậy ...
\(36:9+2^2.3-10\)
\(=4+4.3-10\)
\(=4+12-10\)
\(=16-10\)
\(=6\)
Bài làm
36:9+22.3-10
= 4 + 4.3 - 10
= 4 + 12 - 10
= 6
# Chúc bạn học tốt #
~ Yêu bạn, hồ thị yến ~