Answer:
The area of the rectangle is 24x^5 y^2.
Explanation:
To find the area of a rectangle when the length is represented by 8x³y² and the width is represented by 3x²yº, you need to multiply the length by the width.
8x³y² represents the length and 3x²yº represents the width.
Therefore, the area (A) of the rectangle can be calculated as:
A = length x width
A = 8x³y² x 3x²yº
To simplify this expression, you can use the laws of exponents:
A = 8x³y² x 3x²y°
A = 8 x 3 x x³ x x² x y² x yº
A = 24x^(3+2) y^(2+0)
Simplifying further:
A = 24x^5 y^2
Therefore, the area of the rectangle is 24x^5 y^2.