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a) (11+159).37+(185-31):14
=170.37+154:14
=6290+11
=6301
câu b bạn viết khó hiểu quá bạn viết lại đầu bài đi mik giải cho
a) \(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=\dfrac{2^3\cdot5\cdot10\cdot7}{2^3\cdot5\cdot7\cdot77}=\dfrac{10}{77}\)
\(\dfrac{2^3\cdot3^3\cdot5^3\cdot7\cdot8}{3\cdot2^4\cdot5^3\cdot14}=\dfrac{2^3\cdot3\cdot5^3\cdot7\cdot3^2\cdot8}{3\cdot2^3\cdot2\cdot5^3\cdot14}=\dfrac{7\cdot3^2\cdot8}{2\cdot14}=\dfrac{63\cdot8}{2\cdot14}=18=\dfrac{1386}{77}\)
a) \(2^n=8\)
\(\Rightarrow2^n=2^3\)
\(\Rightarrow n=3\)
b) \(5^{n+1}=125\)
\(\Rightarrow5^{n+1}=5^3\)
\(\Rightarrow n+1=3\)
\(\Rightarrow n=3-1=2\)
c) Mình không rõ đề:
d) \(2\cdot7^{n-1}+3=101\)
\(\Rightarrow2\cdot7^{n-1}=101-3\)
\(\Rightarrow2\cdot7^{n-1}=98\)
\(\Rightarrow7^{n-1}=\dfrac{98}{2}\)
\(\Rightarrow7^{n-1}=49\)
\(\Rightarrow7^{n-1}=7^2\)
\(\Rightarrow n-1=2\)
\(\Rightarrow n=1+2=3\)
e) \(3\cdot5^{2n+1}-6^2=339\)
\(\Rightarrow3\cdot5^{2n+1}=339+36\)
\(\Rightarrow3\cdot5^{2n+1}=375\)
\(\Rightarrow5^{2n+1}=125\)
\(\Rightarrow5^{2n+1}=5^3\)
\(\Rightarrow2n+1=3\)
\(\Rightarrow2n=2\)
\(\Rightarrow n=\dfrac{2}{2}=1\)
a) \(\frac{3}{2}.\frac{7}{2}+\frac{5}{3}.\frac{1}{2}=\frac{21}{2}+\frac{5}{6}=\frac{63}{6}+\frac{5}{6}=\frac{68}{6}=\frac{34}{3}\)
b) \(\frac{1}{9}.\frac{2}{145}-\frac{13}{3}.\frac{2}{145}+\frac{2}{145}=\frac{2}{145}\left(\frac{1}{9}-\frac{39}{9}+\frac{9}{9}\right)=\frac{2}{145}\left(-29\right)=-0.4\)
c) \(\left(-\frac{91}{12}\right):\frac{15}{7}-\frac{1}{18}:\frac{15}{7}+\frac{20}{9}:\frac{15}{7}=\frac{7}{15}\left(-\frac{91}{12}-\frac{1}{18}+\frac{20}{9}\right)=\frac{7}{15}\left(-\frac{65}{12}\right)=-\frac{91}{36}\)
a, 7\(x\) - \(x\) = 521 : 519 + 3.22.7
6\(x\) = 53 + 3.4.7
6\(x\) = 125 + 12.7
6\(x\) = 125 + 84
6\(x\) = 209
\(x\) = 209 : 6
\(x\) = \(\dfrac{209}{6}\)
b; 11\(x\) - 7\(x\) + 34 : 33 = 54 + 2\(x\)
4\(x\) + 3 = 625 + 2\(x\)
4\(x\) - 2\(x\) = 625 - 3
2\(x\) = 622
\(x\) = 622 : 2
\(x\) = 311
c; 75 - 5.(\(x-3\))3 = 700
5.(\(x\) - 3)3 = 700 - 75
5.(\(x\) - 3)3 = - 625
(\(x\) - 30)3 = - 625 : 5
(\(x\) - 30)3 = - 125
(\(x-3\))3 = (-5)3
\(x\) - 3 = - 5
\(x\) = - 5 + 3
\(x\) = -2
d, 3.(2\(x\) - 1)2 = 75
(2\(x\) - 1)2 = 75 : 3
(2\(x\) - 1)2 = 25
\(\left[{}\begin{matrix}2x-1=-5\\2x-1=5\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-5+1\\2x=5+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-4\\2x=6\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\)
3A - A = 2A = 1 + 3 + 32 + 33 + ... + 3n+1 - 1 - 3 - 32 - 33 - ... - 3n
2A = 3n+1 - 1
A = (3n+1 - 1):2
A = 3280
=(3n+1 - 1):2 = 3280
3n+1 - 1 = 3280.2
3n+1 - 1 = 6560
3n+1 = 6560 + 1
3n+1 = 6561
3n+1 = 38
=> n + 1 = 8
n = 7
A = 1+3+32+..+3n
3A = 3+32+...+3n+1
3A - A = (3+32+...+3n+1) - (1+3+32+..+3n)
3A - A = 3n+1-1
2A = 3n+1-1
A = (3n+1-1) : 2
A = 3280
A = (3n+1-1) : 2 = 3280
3n+1-1 = 3280.2
3n+1-1 = 6560
3n+1 = 6561
38 = 6561
=> 38 = 3n+1
n+1 = 8
=> n = 8-1
n = 7
Tớ làm vậy ko biết có đúng ko, có sai sửa giùm nha
3280-(32x73x23x49)
= 3280-(24696x49)
= 3280-1210104
= -1206824
-1206824 tính đi nhé