Thực hiện phép tính: \(\dfrac{{{2^{15}}{{.9}^3}}}{{{6^3}{{.8}^3}}}\)

* Hướng dẫn giải

Ta có:

\(\dfrac{{{2^{15}}{{.9}^3}}}{{{6^3}{{.8}^3}}} = \dfrac{{{2^{15}}.{{\left( {3.3} \right)}^3}}}{{{{\left( {2.3} \right)}^3}.{{\left( {{2^3}} \right)}^3}}}\)\(\dfrac{{{2^{15}}{{.3}^3}{{.3}^3}}}{{{2^3}{{.3}^3}{{.2}^9}}} = \dfrac{{{2^{15}}{{.3}^3}}}{{{2^{12}}}} = \dfrac{{{2^{12}}{{.2}^3}{{.3}^3}}}{{{2^{12}}}}\)\( = {2^3}{.3^3} = {6^3} = 216\)

Chọn đáp án C