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Laws of Exponents

Question 7 • FL-1200330-Algebra 2 Sem 1 - Flex

The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?

Answer
A
2xy2 and 3x2y3
B
2xy2 and 4x2y3
C
2x3y and 3y4
D
2x3y and 3xy4

Explanation

Multiply each pair of dimensions and check whether the product is 6x^3y^5. Choice A gives (2xy^2)(3x^2y^3) = 6x^3y^5, and choice C gives (2x^3y)(3y^4) = 6x^3y^5. Choice B has a coefficient of 8, while choice D has x^4, so neither gives the stated area.

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