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\(0,001=\frac{1}{1000}=\frac{1}{10^3}=10^{-3}\)
\(0,0001=\frac{1}{10000}=\frac{1}{10^4}=10^{-4}\)
\(0,00015=\frac{3}{20000}=\frac{3}{2}\times\frac{1}{10000}=\frac{3}{2}\times\frac{1}{10^4}=\frac{3}{2}\times10^{-4}\)
\(5^{-a}=\frac{1}{5^a}\)
\(3,5\times10^{-5}=3,5\times\frac{1}{10^5}\)
\(\left(\frac{2}{3}\right)^{-2}==\frac{1}{\left(\frac{2}{3}\right)^2}=\left(\frac{3}{2}\right)^2\)
\(10^{-3}=\frac{1}{10^3}=\frac{1}{1000}\)
\(\frac{25.5^3.1}{625.5^2}=\frac{5^2.5^3}{5^4.5^2}=\frac{1}{5}\)
các câu sau mk k hiểu bn viết j
a)\(\left(\frac{1}{5}\right)^{10}.5^{20}=\left(\frac{1}{5}\right)^{10}.5^{10.2}=\left(\frac{1}{5}\right)^{10}.25^{10}=\left(\frac{1}{5}.5\right)^{10}=1^{10}=1\)
b)\(5^2.3^5.\left(\frac{3}{5}\right)^2=\left(\frac{3}{5}.5\right)^2.3^5=3^2.3^5=3^7\)
c)\(\left(\frac{1}{16}\right)^3:\left(\frac{1}{8}\right)^2=\left(\frac{1}{8}\right)^{2.3}:\left(\frac{1}{8}\right)^2=\left(\frac{1}{8}\right)^{6+2}=\left(\frac{1}{8}\right)^8\)
\(a.\left(\frac{1}{5}\right)^{10}.5^{20}=\left(\frac{1}{5}\right)^{10}.5^{10.2}=\left(\frac{1}{5}\right)^{10}.\left(5^2\right)^{10}=\left(\frac{1}{5}\right)^{10}.25^{10}=\left(\frac{1}{5}.25\right)^{10}=5^{10}.\)
\(b.5^2.3^5.\left(\frac{3}{5}\right)^2=\left[5^2.\left(\frac{3}{5}\right)^2\right].3^5=\left(5.\frac{3}{5}\right)^2.3^5=3^2.3^5=3^7\)\(c.\left(\frac{1}{16}\right)^3:\left(\frac{1}{8}\right)^2=\left[\left(\frac{1}{4}\right)^2\right]^3:\left[\left(\frac{1}{2}\right)^3\right]^2=\left(\frac{1}{4}\right)^6:\left(\frac{1}{2}\right)^6=\left(\frac{1}{4}:\frac{1}{2}\right)^6=\left(\frac{1}{2}\right)^6\)
\(5^{166}=25^{83};3^{249}=\left(3^3\right)^{83}=27^{83};2^{415}=\left(2^5\right)^{83}=32^{83}\)
25<27<32
=>\(5^{166}< 3^{249}< 2^{415}\)
=>C lớn nhất