Thực hiện phép tính: \(\dfrac{{{{10}^9}{{.49}^4}}}{{{{14}^8}{{.25}^5}}}\)

* Hướng dẫn giải

Ta có:

\(\dfrac{{{{10}^9}{{.49}^4}}}{{{{14}^8}{{.25}^5}}}\)

\(\begin{array}{l} = \dfrac{{{{\left( {2.5} \right)}^9}.{{\left( {{7^2}} \right)}^4}}}{{{{\left( {2.7} \right)}^8}.{{\left( {{5^2}} \right)}^5}}}\\ = \dfrac{{{2^9}{{.5}^9}{{.7}^8}}}{{{2^8}{{.7}^8}{{.5}^{10}}}}\\ = \dfrac{{2.1.1}}{{1.1.5}}\\ = \dfrac{2}{5}\end{array}\)