Answer
$-2x^{20}$
Work Step by Step
Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables.
$\frac{-8x^{22}}{4x^2}=(\frac{-8}{4})x^{(22-2)}=-2x^{20}$
Check the answer.
$4x^2\times(-2x^{20})=-8x^{2+20}=-8x^{22}$