Question
$[(-32) ÷ 8 ] ÷ 2 = -32 ÷ [ 8 ÷ 2]$

Answer

$\because\text{LHS}=[(-32)\div8]\div2$
$= \bigg[\frac{-32}{8}\bigg]+2=-4+2=-2$
$\text{and}\ \text{RHS}=(-32)\div[8\div2]$
$\bigg[\frac{-32}{8}\bigg]+2=-4+2=-2$
$\text{and}\ \text{RHS}=(-32)\div[8\div2]$
$=(-32)\div\bigg[\frac{8}{2}\bigg]$
$=(-32)\div4=\frac{(-32)}{4}=-8$
Hence, $LHS \neq RHS.$

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