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![](https://rs.olm.vn/images/avt/0.png?1311)
\(0,001=\frac{1}{1000}=\frac{1}{10^3}=10^{-3}\)
\(0,0001=\frac{1}{10000}=\frac{1}{10^4}=10^{-4}\)
\(0,00015=\frac{3}{20000}=\frac{3}{2}\times\frac{1}{10000}=\frac{3}{2}\times\frac{1}{10^4}=\frac{3}{2}\times10^{-4}\)
\(5^{-a}=\frac{1}{5^a}\)
\(3,5\times10^{-5}=3,5\times\frac{1}{10^5}\)
\(\left(\frac{2}{3}\right)^{-2}==\frac{1}{\left(\frac{2}{3}\right)^2}=\left(\frac{3}{2}\right)^2\)
\(10^{-3}=\frac{1}{10^3}=\frac{1}{1000}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\dfrac{-3}{35}=\dfrac{-5}{7}\cdot\dfrac{3}{25}\\ b,\dfrac{-3}{35}=\dfrac{-2}{5}:\dfrac{14}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
c) \(\left(\dfrac{5}{4}\right)^4:\left(\dfrac{15}{2}\right)^4=\left(\dfrac{5}{4}:\dfrac{15}{2}\right)^4=\left(\dfrac{1}{6}\right)^4\)
d) \(10^4:16=10^4:2^4=\left(10:2\right)^4=5^4\)
e) \(\left(-2\right)^3.125=\left(-2\right)^3.5^3=\left(-2.5\right)^3=-10^3\)
f) \(64^3:\left(-2\right)^9=64^3:\left(-8\right)^3=\left(64:-8\right)^3=-8^3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{25.5^3.1}{625.5^2}=\frac{5^2.5^3}{5^4.5^2}=\frac{1}{5}\)
các câu sau mk k hiểu bn viết j
\(5^{166}=25^{83};3^{249}=\left(3^3\right)^{83}=27^{83};2^{415}=\left(2^5\right)^{83}=32^{83}\)
25<27<32
=>\(5^{166}< 3^{249}< 2^{415}\)
=>C lớn nhất