Tính ​\(\frac{{{6^5} \cdot {3^2}}}{{{4^3} \cdot {9^3}}} \)

* Hướng dẫn giải

Ta có

\(\frac{{{6^5} \cdot {3^2}}}{{{4^3} \cdot {9^3}}} = \frac{{{2^5}{{.3}^5} \cdot {3^2}}}{{{{\left( {{2^2}} \right)}^3} \cdot {{\left( {{3^2}} \right)}^3}}} = \frac{{{2^5}{{.3}^7}}}{{{2^6}{{.3}^6}}} = \frac{3}{2}\)