Hãy tính ​\(\frac{{{3^5} \cdot {{15}^8}}}{{{{(25 \cdot 27)}^4}}} \)

* Hướng dẫn giải

 \(\frac{{{3^5} \cdot {{15}^8}}}{{{{(25 \cdot 27)}^4}}} = \frac{{{3^5} \cdot {{\left( {3.5} \right)}^8}}}{{{{\left( {{5^2}} \right)}^4}.{{\left( {{3^3}} \right)}^4}}} = \frac{{{3^5}{{.3}^8}{{.5}^8}}}{{{5^8}{{.3}^{12}}}} = \frac{{{3^{13}}{{.5}^8}}}{{{5^8}{{.3}^{12}}}} = \frac{1}{3}\)