# Multiply (4xy^3)/(5x^2)*(20x^3y^2)/(-16xy^7)

4xy35x2⋅20x3y2-16xy7
Cancel the common factor of 4xy3.
Factor 4xy3 out of -16xy7.
4xy35x2⋅20x3y24xy3(-4y4)
Cancel the common factor.
4xy35x2⋅20x3y24xy3(-4y4)
Rewrite the expression.
15×2⋅20x3y2-4y4
15×2⋅20x3y2-4y4
Cancel the common factor of 5×2.
Factor 5×2 out of 20x3y2.
15×2⋅5×2(4xy2)-4y4
Cancel the common factor.
15×2⋅5×2(4xy2)-4y4
Rewrite the expression.
4xy2-4y4
4xy2-4y4
Cancel the common factor of 4 and -4.
Factor 4 out of 4xy2.
4(xy2)-4y4
Cancel the common factors.
Factor 4 out of -4y4.
4(xy2)4(-y4)
Cancel the common factor.
4(xy2)4(-y4)
Rewrite the expression.
xy2-y4
xy2-y4
xy2-y4
Cancel the common factor of y2 and y4.
Factor y2 out of xy2.
y2x-y4
Cancel the common factors.
Factor y2 out of -y4.
y2xy2(-y2)
Cancel the common factor.
y2xy2(-y2)
Rewrite the expression.
x-y2
x-y2
x-y2
Move the negative in front of the fraction.
-xy2
Multiply (4xy^3)/(5x^2)*(20x^3y^2)/(-16xy^7)

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