Đáp án:
5) 24
Giải thích các bước giải:
\(\begin{array}{l}
2)\dfrac{{{4^3}{{.5}^3}{{.49}^2}}}{{{7^3}{{.2}^3}{{.5}^4}}} = \dfrac{{{{\left( {{2^2}} \right)}^3}{{.5}^3}.{{\left( {{7^2}} \right)}^2}}}{{{7^3}{{.2}^3}{{.5}^4}}}\\
= \dfrac{{{2^6}{{.5}^3}{{.7}^4}}}{{{7^3}{{.2}^3}{{.5}^4}}} = \dfrac{{{2^3}.7}}{5} = \dfrac{{8.7}}{5} = \dfrac{{56}}{5}\\
3)\dfrac{{{3^{2014}}.{{\left( {{2^3}} \right)}^{19}}}}{{{2^{58}}{{.3}^{58}}{{.3}^{1955}}}} = \dfrac{{{3^{2014}}{{.2}^{57}}}}{{{2^{58}}{{.3}^{2013}}}} = \dfrac{3}{2}\\
4)\dfrac{{{2^{15}}.{{\left( {{3^2}} \right)}^3}}}{{{2^7}{{.3}^7}.{{\left( {{2^2}} \right)}^4}}} = \dfrac{{{2^{15}}{{.3}^6}}}{{{2^7}{{.3}^{15}}}} = \dfrac{{{2^8}}}{{{3^9}}}\\
5)\dfrac{{{2^{16}}.{{\left( { - {3^2}} \right)}^3}}}{{ - {2^5}{{.3}^5}.{{\left( {{2^4}} \right)}^2}}} = \dfrac{{{2^{16}}{{.3}^6}}}{{{2^{13}}{{.3}^5}}} = {2^3}.3 = 8.3 = 24
\end{array}\)
( Câu 1 đề nhìn k rõ bạn )
