\[\boxed{\text{176\ (176).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ 10\ 000 = 10^{4}.\]
\[2) - 32 = ( - 2)^{5}.\]
\[3)\ 0,125 = {0,5}^{3}.\]
\[4) - 0,00001 = ( - 0,1)^{5}.\]
\[5)\ - \frac{8}{343} = \left( - \frac{2}{7} \right)^{3}.\ \]