Question

Tính \(\dfrac{3}{5}\).\(\dfrac{6}{7}\)+\(\dfrac{3}{7}\):\(\dfrac{5}{3}\)-\(\dfrac{2}{7}\):\(1\dfrac{2}{3}\)

\(\dfrac{3^7.16^3}{12^5.27^2}\)

Answer 1

\(\dfrac{3}{5}.\dfrac{6}{7}+\dfrac{3}{7}:\dfrac{5}{3}-\dfrac{2}{7}:1\dfrac{2}{3}.\)

\(=\dfrac{3}{5}.\dfrac{6}{7}+\dfrac{3}{7}.\dfrac{3}{5}-\dfrac{2}{7}.\dfrac{3}{5}.\)

\(=\dfrac{3}{5}\left(\dfrac{6}{7}+\dfrac{3}{7}-\dfrac{2}{7}\right).\)

\(=\dfrac{3}{5}.1=\dfrac{3}{5}.\)

Vậy.....

Answer 2

\(\dfrac{3^7.16^3}{12^5.27^2}=\dfrac{3^7.\left(2^4\right)^3}{\left(2^2.3\right)^5.\left(3^3\right)^2}.\)

\(=\dfrac{3^7.2^{12}}{\left(2^2\right)^5.3^5.3^6}=\dfrac{3^7.2^{12}}{2^{10}.3^{11}}.\)

\(=\dfrac{2^2}{3^4}=\dfrac{4}{81}.\)

Vậy.....