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![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(=\left(\dfrac{17}{10}+\dfrac{70}{10}-\dfrac{87}{10}\right):\left(\dfrac{23}{4}-\dfrac{11}{4}+\dfrac{9}{25}\right)\cdot\left(12,98\cdot0,25\right)+12,5\)
\(=0:\left(3+\dfrac{9}{25}\right)\cdot\left(12,98+0,25\right)+12,5\)
=12,5
b: \(=\dfrac{13}{12}\cdot\dfrac{27}{5}\cdot2\cdot\dfrac{34}{9}\cdot2\cdot\dfrac{2}{17}\)
\(=\dfrac{13}{12}\cdot2\cdot\dfrac{27}{5}\cdot\dfrac{34}{9}\cdot\dfrac{4}{17}\)
\(=\dfrac{13}{6}\cdot\dfrac{27}{5}\cdot\dfrac{8}{9}=\dfrac{8}{6}\cdot3\cdot\dfrac{13}{5}=4\cdot\dfrac{13}{5}=\dfrac{52}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(E=\dfrac{11.3^{29}-3^{2^{15}}}{2.3^{14}.2.3^{14}}\)
\(=\dfrac{11.3-3^{30}}{2^2}=\dfrac{33-3^{30}}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1.
Tập hợp A giao B ta gọi là tập hợp C
C={ ngô, gạo}
2. Gọi tập hợp đó là A
A={ H, A, N, O, I }
3.
a) \(7^6\)
b) \(10^8\)
c) \(5^2.2^3\)
d) \(6^5.3\)
k mik nha các bạn
1,
giao của nó là gạo ngô
2 a ={h ; a ;n ;ô;i }
3.\(7^6\)
\(10^8\)
\(5^2\times2^3\)
\(3^6\times2^5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(E=\frac{1}{10}+\frac{1}{15}+...+\frac{1}{120}\)
\(E=\frac{2}{20}+\frac{2}{30}+...+\frac{2}{240}\)
\(E=2\left(\frac{1}{20}+\frac{1}{30}+...+\frac{1}{240}\right)\)
\(E=2\left(\frac{1}{4x5}+\frac{1}{5x6}+...+\frac{1}{15x16}\right)\)
\(E=2\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{15}-\frac{1}{16}\right)\)
\(E=2\left(\frac{1}{4}-\frac{1}{16}\right)\)
\(E=\frac{3}{8}\)
1/2E=1/20+1/30+1/42+...+1/240. =>1/2E=1/4*5+1/5*6+1/6*7+...+1/15*16. =>1/2E=1/4-1/5+1/5-1/6+1/6-1/7+...+1/15-1/16. =>1/2E=1/4-1/16=3/16. =>E=3/16:1/2=3/8. Câu b có vấn đề.
![](https://rs.olm.vn/images/avt/0.png?1311)
Rút gọn :
\(\frac{-63}{81}=\frac{-7\cdot9}{9\cdot9}=\frac{-7}{9}\)
\(\frac{-5\cdot6}{9\cdot35}=\frac{-5\cdot2\cdot3}{3\cdot3\cdot5\cdot7}=\frac{-2}{3\cdot7}=\frac{-2}{21}\)
\(\frac{7\cdot2+8}{2\cdot14\cdot5}=\frac{14+8}{2\cdot2\cdot7\cdot5}=\frac{22}{2\cdot2\cdot7\cdot5}=\frac{2\cdot11}{2\cdot2\cdot7\cdot5}=\frac{11}{2\cdot7\cdot5}=\frac{11}{70}\)
\(\frac{-63}{81}=\frac{-7}{9}\)
\(\frac{-5.6}{9.35}=\frac{-5.2.3}{3.3..5.7}=\frac{-2}{3.7}=\frac{-2}{21}\)
\(\frac{7.2+8}{2.14.5}=\frac{22}{2.2.7.5}=\frac{2.11}{2.2.7.5}=\frac{11}{70}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1.1!+2.2!+3.3!+4.4!+5.5!\\ \)
\(=1.1.1+2.1.2+3.1.2.3+4.1.2.3.4+5.1.2.3.4.5\)
\(=1+2^2.1+3^3.1.2+4^2.1.2.3+5^2.1.2.3.4\)
Ngồi tính :)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 3:
\(A=2\left(1+2\right)+2^3\left(1+2\right)+...+2^{59}\left(1+2\right)\)
\(=3\left(2+2^3+...+2^{59}\right)⋮3\)
\(A=2\left(1+2+2^2\right)+2^4\left(1+2+2^2\right)+...+2^{58}\left(1+2+2^2\right)\)
\(=7\left(2+2^4+...+2^{58}\right)⋮7\)
\(A=2\left(1+2+2^2+2^3\right)+2^5\left(1+2+2^2+2^3\right)+...+2^{57}\left(1+2+2^2+2^3\right)\)
\(=15\left(2+2^5+...+2^{57}\right)⋮15\)
\(\dfrac{19,8:0,2.44,44.2.13,20:0,25}{3,3.88,88:0,5.6,6:0,125.5}\)
=\(\dfrac{19,8.5.44,44.2.13,20.4}{3,3.88,88.2.6,6.8.5}\)
=\(\dfrac{19,8.44,44.13,2.4}{3,3.88,88.6,6.8}\)(bn cứ bỏ số giông nhau ở tử và mẫu là dc)
=\(\dfrac{3,3.44,44.6,6.2.4}{3,3.44,44.2.6,6.4.2}\)(phân tích các số 19,8; 13,2; 88,88; 8)
=\(\dfrac{6}{2}\)
=\(\dfrac{3}{1}\)
=3