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\(\frac{1}{2}+-\frac{1}{5}+-\frac{5}{7}+\frac{1}{6}-\frac{3}{35}+\frac{1}{3}+\frac{1}{41}=\frac{1}{41}\)
Mình chỉ làm được phần b thôi nhé ! Bạn thông cảm
\(25< 3^n< 250\)
Ta có :
\(3^3\le3^n\le3^5\)
\(\Rightarrow3\le n\le5\)
\(\Rightarrow n=\left\{3;4;5\right\}\)
Vậy \(n=\left\{3;4;5\right\}\)
- (1 +1 +1)! = 6
- 2X2+ 2 = 6
- 3x3 -.3 = 6
- \(\sqrt{4}+\sqrt{4}+\sqrt{4}\)= 6
- 5+( 5: 5 )= 6
- 7 -(7:7 )= 6
- \(\sqrt{\left(8-8\right)+8}!\)= 6
- \(\left(9-9\right)+\sqrt{9}!\)= 6
- \(\sqrt{10-\left(10:10\right)}!\) = 6
$B=\dfrac{4^5\cdot10\cdot5^6+25^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}$
$=\dfrac{2^{10}\cdot2\cdot5\cdot5^6+5^{10}\cdot2^8}{2^8\cdot5^4+2^5\cdot5^7}$
$=\dfrac{2^{11}\cdot5^7+2^8\cdot5^{10}}{2^8\cdot5^4+2^5\cdot5^7}$
$=\dfrac{2^8\cdot5^7(2^3+5^3)}{2^5\cdot5^4(2^3+5^3)}$
$=2^{8-5}\cdot5^{7-4}$
$=2^3\cdot5^3$
$=8\cdot125$
$=1000.$
$\textbf{Ta có:}$
$A=\dfrac{-5^2-5\cdot3^2}{5^3+5^2\cdot3^2}$
$=\dfrac{-25-45}{125+225}$
$=\dfrac{-70}{350}$
$=-\dfrac15.$
Và
$B=\dfrac{2^{12}\cdot3^{10}+6^9\cdot120}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}$
$=\dfrac{2^{12}3^{10}+2^{12}3^{10}\cdot5}{2^{11}3^{11}(2\cdot3-1)}$
$=\dfrac{2^{12}3^{10}(1+5)}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^{12}3^{10}\cdot6}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^2}{5}$
$=\dfrac45.$
=> $M=B-A$$=\dfrac45-\left(-\dfrac15\right)$
$=\dfrac55$$=1.$
dễ, nhưng phai giai dc câu nay 60% nhan x cong 2 phan 3 = 1 phan 3 nhan 6va 1 phan 3
dễ mà
$\textbf{a)}$
$\dfrac{3^{10}\cdot(-5)^{21}}{(-5)^{20}\cdot3^{12}}$
$=\dfrac{-5}{3^2}$
$=-\dfrac59.$
$\textbf{b)}$
$\dfrac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot30^{10}}$
$=\dfrac{2^{10}\cdot3^9(3-1)}{2^9\cdot(2\cdot3\cdot5)^{10}}$
$=\dfrac{2^{11}\cdot3^9}{2^{19}\cdot3^{10}\cdot5^{10}}$
$=\dfrac{1}{2^8\cdot3\cdot5^{10}}$
$=\dfrac{1}{7500000000}.$
$\textbf{c)}$
$\dfrac{3^4\cdot5-3^6}{3^4\cdot13+2\cdot(-13)\cdot9}$
$=\dfrac{3^4(5-3^2)}{13(3^4-2\cdot9)}$
$=\dfrac{3^4(-4)}{13(81-18)}$
$=\dfrac{-324}{819}$
$=-\dfrac{36}{91}.$
$\textbf{d)}$
$\dfrac{10\cdot(-13)\cdot9}{(-3)\cdot4\cdot(-5)\cdot26}$
$=\dfrac{-1170}{1560}$
$=-\dfrac34.$
$\textbf{e)}$
$\dfrac{15\cdot8+15\cdot4}{12\cdot3}$
$=\dfrac{15(8+4)}{12\cdot3}$
$=\dfrac{15\cdot12}{12\cdot3}$
$=\dfrac{15}{3}$
$=5.$