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

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

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