Đáp án:
2) \( - \dfrac{{121505}}{4}\)
Giải thích các bước giải:
\(\begin{array}{l}
1)a.\dfrac{{27}}{5} - \dfrac{{16}}{3} - \dfrac{7}{5} + \dfrac{1}{3}\\
= \left( {\dfrac{{27}}{5} - \dfrac{7}{5}} \right) + \left( { - \dfrac{{16}}{3} + \dfrac{1}{3}} \right)\\
= 4 - 5 = - 1\\
2)\dfrac{{{{\left( {{2^2}} \right)}^3}.{{\left( { - 3} \right)}^3}{{.5}^3}.{{\left( {{3^2}} \right)}^{25}}.{{\left( {{2^2}} \right)}^{15}}}}{{{{\left( {{2^4}} \right)}^9}.{{\left( {{3^3}} \right)}^{18}}}} - \sqrt {\dfrac{{25}}{{16}}} \\
= - \dfrac{{{2^6}{{.2}^{30}}{{.3}^3}{{.3}^{50}}{{.5}^3}}}{{{2^{36}}{{.3}^{48}}}} - \dfrac{5}{4}\\
= - \dfrac{{{2^{36}}{{.3}^{53}}{{.5}^3}}}{{{2^{36}}{{.3}^{48}}}} - \dfrac{5}{4}\\
= - {3^5}{.5^3} - \dfrac{5}{4} = - 30375 - \dfrac{5}{4}\\
= - \dfrac{{121505}}{4}
\end{array}\)