Question

Which expression describes the area in square units of a
rectangle that has a width of 4x3y
2
and a length of 3x2y
3
?

Answer 1

no idea what that all means; your text formatting is horrible.
But, if you mean the dimensions are
4x^3y^2 and 3x^2y^3
then the area is 4*3 x^(3+2) y^(2+3) = 12 x^5 y^5

if this exercise is just on learning rules of exponents, remember
x^a * x^b = x^(a+b)
when you multiply powers, you add exponents

Answer 2

At least try to write the question properly.

If your expression means:

W = 4 x³ y²

L = 3 x² y³

then

A = W ∙ L

A = 4 x³ y² ∙ 3 x² y³

A = 4 ∙ 3 ∙ x³ ⁺ ² ∙ y² ⁺ ³

A = 12 x⁵ y⁵

A = 12 ( x y )⁵