If p and q are two natural numbers such that p² = 32 then q^p​2 is?

Dear Student,

Assuming question is : p^q = 32 , then find q^p2 

$\Rightarrow$p^q = 2 x 2 x 2 x 2 x 2
$\Rightarrow$p^q = 2⁵ 
Therefore, p = 2 and q = 5

Hence, q^p2  = (5²)²
$\Rightarrow$q^p2  = 25² 
$\Rightarrow$q^p2  = 625

Regards