Question

Reduce to lowest terms.

(4x^(4)y^(3))/(-8x^(2)y)

A. -4x^3y^2
B. -(1/2) x^2y^2
C. -2x^2y^2

Answer 1

Answer: To reduce the fraction to lowest terms, we need to divide both the numerator and denominator by their greatest common factor.

In this case, the greatest common factor between the numerator and denominator is x^2y.

So we can divide the numerator and denominator by x^2y to get:

(4x^(4)y^(3))/(-8x^(2)y) = (4x^2y^2)/(-8) = -(1/2) x^2y^2

So the fraction reduced to lowest terms is -(1/2) x^2y^2, which corresponds with option B.

Explanation: