Question

Tính : \(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)

Answer 1

\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)

\(=\left(\frac{3}{5}\right)^{2003}:\left(\left(\frac{3}{5}\right)^2\right)^{1000}\)

\(=\left(\frac{3}{5}\right)^{2003}:\left(\frac{3}{5}\right)^{2000}\)

\(=\left(\frac{3}{5}\right)^3\)

\(=\frac{27}{125}\)

Answer 2

\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)

\(=\frac{3}{5}.\left[\left(\frac{3}{5}\right)^2\right]^{1000}:\left(\frac{9}{25}\right)^{1000}\)

\(=\frac{3}{5}.\left(\frac{9}{25}\right)^{1000}:\left(\frac{9}{25}\right)^{1000}\)

\(=\frac{3}{5}\)

Answer 3

\(=0:\left(\frac{9}{25}\right)^{1000}\)

\(=0.\left(\frac{25}{9}\right)^{1000}\)

\(=0\)

Answer 4

\(\left\{\frac{3}{5}\right\}^{2003}:\left\{\frac{3}{5}^2\right\}^{1000}=\frac{3}{5}^{2003}:\frac{3}{5}^{2000}=\frac{3}{5}^{2003-2000}=\left\{\frac{3}{5}\right\}^3\)= \(\frac{9}{15}=\frac{3}{5}\)