step by step working out (1/125)^(1/3) pls

step by step working out (1/125)^(1/3) pls

$$\small{\text{$ \begin{array}{rcl} &&\left( \dfrac{1} {125} \right)^{ \dfrac{1} {3} } \\\\ &=& \dfrac{1} {\left( 125\right)^{ \frac{1} {3} }} \\\\ &=& \dfrac{1} {\left( 5\cdot 5 \cdot 5\right)^{ \frac{1} {3} }}\\\\ &=& \dfrac{1} {\left( 5^3 \right)^{ \frac{1} {3} }}\\\\ &=& \dfrac{1} { 5^{ \frac{3} {3} }}\\\\ &=& \dfrac{1} { 5^1 }\\\\ &\mathbf{=}& \mathbf{ \dfrac{1} {5}}\\\\ \end{array} $}}$$