Answer
$32$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{4.2^5}{2.1^5}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\left( \dfrac{4.2}{2.1} \right)^5
\\\\=
\left( 2 \right)^5
\\\\=
32
.\end{array}