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\(\left(\frac{2}{5}\right)^{2003}\div\left(\frac{9}{25}\right)^{1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3^2}{5^2}\right)^{1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3}{5}\right)^{2.1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{2}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\div\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{2}{5}\right)^{2000}\div\left(\frac{3}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\left(\frac{2}{5}:\frac{3}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\left(\frac{2}{3}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\frac{2^{2000}.2^3}{3^{2000}.5^3}\)
\(=\frac{2^{2003}}{3^{2000}.5^3}\)
\(\left(\frac{3}{5}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}\)
\(=\left(\frac{3}{5}\right)^{2012}:\left[\left(\frac{3}{5}\right)^2\right]^{1000}\)
\(=\left(\frac{3}{5}\right)^{2012}:\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{3}{5}\right)^{12}\)
ma chia cho may ? ko biet chia cho so nao lam sao tim so du
=(1000-1^3).(1000-2^3)..(1000-10^3).....(1000-25^3)
=(1000-1^3).(1000-2^3)...0........(1000-25^3)
=0
\(\left(1000-1^3\right)\left(1000-2^3\right).............\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)........\left(1000-10^3\right)......\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)......\left(1000-1000\right)......\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)........0.......\left(1000-25^3\right)\)
\(=0\)
\(\left(1000-1^3\right)\left(1000-2^3\right)...........\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right).........\left(1000-10^3\right).......\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right).......\left(1000-1000\right)......\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)........0......\left(1000-25^3\right)\)
\(=0\)
(\(\frac{3}{5}\))3