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