Đáp án:
$\begin{array}{l}
1){\left( {\dfrac{1}{3}} \right)^5}{.3^5} = \dfrac{1}{{{3^5}}}{.3^5} = 1\\
2){\left( {1,5} \right)^3}.8 = {\left( {\dfrac{3}{2}} \right)^3}{.2^3} = \dfrac{{{3^3}}}{{{2^3}}}{.2^3} = {3^3} = 27\\
3)\dfrac{{{{72}^2}}}{{{{24}^2}}} = {\left( {\dfrac{{72}}{{24}}} \right)^2} = {3^2} = 9\\
4)\dfrac{{{{\left( { - 7,5} \right)}^3}}}{{2,{5^3}}} = {\left( { - \dfrac{{7,5}}{{2,5}}} \right)^3} = - {3^3} = - 27\\
5)\dfrac{{{{15}^3}}}{{27}} = \dfrac{{{{15}^3}}}{{{3^3}}} = {\left( {\dfrac{{15}}{3}} \right)^3} = {5^3} = 125
\end{array}$