Chris tried to simplify an expression step by step.
$\begin{align}
&\left( 4^{-2} \cdot 4^{-3} \right)^{3}
\\\\
=&\left( 4^{-5} \right)^{3}&\green{\text{Step } 1}
\\\\
=&4^{-2}&\blue{\text{Step } 2}
\\\\
=&\dfrac{1}{4^{2}}&\purple{\text{Step } 3}
\end{align}$
**Find Chris's mistake.**
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