The area of a rectangle, cap A is equal to l times w is represented by the expression 24 x to the 6th power y to the 15th power Which could be the dimensions of the rectangle?
Answer
A
6 x squared y cubed and 4 x cubed y to the 5th power
B
2 x to the 5th power y to the 8th power and 12 x y to the 7th power
C
9 x to the 4th power y to the 11th power and 12 x squared y to the 4th power
D
10 x to the 6th power y to the 15th power and 14 x to the 6th power y to the 15th power
Explanation
Multiply the two dimensions in choice B: 2 × 12 = 24, x⁵ × x = x⁶, and y⁸ × y⁷ = y¹⁵. Their product is 24x⁶y¹⁵, which matches the rectangle’s area. So the dimensions 2x⁵y⁸ and 12xy⁷ are correct.
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