[tex]\mathsf{Given : (4^-^1)(\dfrac{2^3}{4^-^2})}[/tex]
[tex]\mathsf{\implies (\dfrac{1}{4}) (\dfrac{2^3}{4^-^2})}[/tex]
[tex]\mathsf{\implies [\dfrac{2^3}{(4)(4^-^2)}]}[/tex]
[tex]\mathsf{\implies [\dfrac{2^3}{(4^-^2^+^1)}]}[/tex]
[tex]\mathsf{\implies [\dfrac{2^3}{(4^-^1)}]}[/tex]
[tex]\mathsf{\implies (2^3)(4)}[/tex]
[tex]\mathsf{\implies (2^3)(2^2)}[/tex]
[tex]\mathsf{\implies (2)^3^+^2}[/tex]
[tex]\mathsf{\implies (2)^5}[/tex]
[tex]\mathsf{\implies 32}[/tex]
Option D is the Answer
