Question

PLEASE HELP!! which number is the same as this expression ?

Answer 1

$\mathsf{Given : (4^-^1)(\dfrac{2^3}{4^-^2})}$

$\mathsf{\implies (\dfrac{1}{4}) (\dfrac{2^3}{4^-^2})}$

$\mathsf{\implies [\dfrac{2^3}{(4)(4^-^2)}]}$

$\mathsf{\implies [\dfrac{2^3}{(4^-^2^+^1)}]}$

$\mathsf{\implies [\dfrac{2^3}{(4^-^1)}]}$

$\mathsf{\implies (2^3)(4)}$

$\mathsf{\implies (2^3)(2^2)}$

$\mathsf{\implies (2)^3^+^2}$

$\mathsf{\implies (2)^5}$

$\mathsf{\implies 32}$

Option D is the Answer