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\(\left(\dfrac{1}{2}\right)^3.\left(-2\right)^2-25\%+\dfrac{3}{5}.25-30\\ =\dfrac{1}{2}.\left(\dfrac{1}{2}\right)^2.\left(-2\right)^2-\dfrac{25}{100}+\dfrac{3}{5}.25-30\\ =\left(\dfrac{1}{2}\right).\left[\dfrac{1}{2}.\left(-2\right)\right]^2-\dfrac{1}{4}+15-30\\ =\dfrac{1}{2}.\left(-1\right)^2-\dfrac{1}{4}+15-30\\ =\dfrac{1}{2}-\dfrac{1}{4}+15-30\\ =\dfrac{1}{4}+15-30=\dfrac{61}{4}-30=-\dfrac{59}{4}\)
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a: \(=\dfrac{2^9\cdot5^9\cdot3^{40}}{2^{12}\cdot5^{10}\cdot3^{20}}=\dfrac{3^{20}}{5\cdot2^3}\)
b: \(=\dfrac{-3^8\cdot2^{10}\cdot5^6}{2^9\cdot\left(-1\right)\cdot3^6\cdot5^7}=\dfrac{-2}{5}\cdot3^2=-\dfrac{18}{5}\)
c: \(=\dfrac{3^{186}\cdot5^{100}}{5^{100}\cdot3^{187}}=\dfrac{1}{3}\)
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\(-14:4,1=-7x:5.25\)
\(-7x:5.25=-\frac{140}{41}\)
\(-7x:5=-\frac{140}{41}:25\)
\(-7x:5=-\frac{140}{41}.\frac{1}{25}\)
\(-7x:5=-\frac{28}{205}\)
\(-7x=-\frac{28}{205}.5\)
\(-7x=-\frac{28}{41}\)
\(\Rightarrow x=-\frac{28}{41}:-7\)
\(x=-\frac{28}{41}.-\frac{1}{7}\)
\(x=\frac{4}{41}\)
Vậy x=4/41
Chúc bạn học tốt
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\(=\dfrac{3^8\cdot2^{10}\cdot5^6}{2^9\cdot3^6\cdot5^7}=3^2\cdot\dfrac{2}{5}=\dfrac{18}{5}\)
\(\dfrac{9^4\cdot4^5\cdot25^3}{8^3\cdot27^2\cdot5^7}\)
\(=\dfrac{\left(3^2\right)^4\cdot\left(2^2\right)^5\cdot\left(5^2\right)^3}{\left(2^3\right)^3\cdot\left(3^3\right)^2\cdot5^7}\)
\(=\dfrac{3^8\cdot2^{10}\cdot5^6}{2^9\cdot3^6\cdot5^7}\)
\(=\dfrac{3^2\cdot2\cdot1}{1\cdot1\cdot5}\)
\(=\dfrac{18}{5}\)
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a)=3^4<3.n<3^10
=>n=4;5;6;7;8;9
b)5^2<5^n-1<5^4
=>n-1=3=>n=4
c)5.5^2n==5^6
=>5^2n+1=5^6
=>n=7/2
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\(\hept{\begin{cases}\\\end{cases}\hept{\begin{cases}\\\\\end{cases}}\orbr{\begin{cases}\\\end{cases}}^{ }\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\end{cases}}}\)
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\(125.5>5^n>5.25\)
=> \(5^3.5>5^n>5.5^2\)
=>\(5^4>5^n>5^3\)
=> \(4>n>3\)
=> \(n=2\)
Chúc bạn Hk tốt!!!
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Lời giải:
\(\frac{20^4.15^5}{12^5.25^4}=\frac{(2^2.5)^4.(3.5)^5}{(2^2.3)^5.(5^2)^4}=\frac{2^8.5^4.3^5.5^5}{2^{10}.3^5.5^8}\)
\(=\frac{2^8.5^9.3^5}{2^{10}.3^5.5^8}=\frac{2^8.5^8.5.3^5}{2^8.2^2.3^5.5^8}=\frac{5}{2^2}=\frac{5}{4}\)
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=>5.(52)x+1=(53)x
=>5.52x+2=53x
=>52x+2+1=53x
=>2x+2+1=3x
=>3=3x-2x
=>x.(3-2)=3
=>x=3
5.25^x+1=125^x
5(5^2)^x+1=(5^3)^x
5.5^2x+2=5^3x
5^2x+2+1=5^3x
suy ra 2x+3=3x
2x-3x=-3
-x=-3
x=3
25% của -5,25 = 1,3125
=1,3125
giúp tớ nhé ,tớ mới bị từ 290
ai giúp mình mình giúp lại
cảm ơn trước