\[\boxed{\text{381\ (381).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ 0,81 = {0,9}^{2};\ \ \]
\[0,16 = {0,4}^{2};\ \ \]
\[144 = 12^{2};\ \]
\[\frac{25}{169} = \left( \frac{5}{13} \right)^{2};\ \ \ \ \]
\[1\frac{24}{25} = \frac{49}{25} = \left( \frac{7}{5} \right)^{2};\ \ \ \]
\[0,0004 = {0,02}^{2}.\]
\[\textbf{б)}\ 64 = 4^{3};\ \ \]
\[- 216 = ( - 6)^{3};\ \ \ \]
\[0,008 = {0,2}^{3}\ ;\ \ \ \]
\[- \frac{1}{64} = \left( - \frac{1}{4} \right)^{3};\ \ \ \]
\[4\frac{17}{27} = \frac{125}{27} = \left( \frac{5}{3} \right)^{3}.\]
\[\textbf{в)}\ 10 = 10^{1};\ \ \ \]
\[100 = 10^{2};\ \ \ \]
\[1000 = 10^{3};\ \ \ \]
\[1\ 000\ 000 = 10^{6}.\]
\[\textbf{г)}\ 125 = 5^{3};\ \ \ \]
\[625 = 5^{4};\ \ \ \]
\[15\ 625 = 5^{6}.\]