How do you simplify #(14x^2y)/(-7x^3y^4)#?

3 Answers
Mar 18, 2017

Answer:

#-2/(xy^3)#

Explanation:

#\mathtt{\frac{14x^2y}{-7x^3y^4}=\frac{2\cdot1\cdot1}{-1xy^3}=\frac{2}{-xy^3}#

Mar 18, 2017

Answer:

#2/(-xy^3#

Explanation:

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Mar 18, 2017

Answer:

#=-2/(xy^3#

Explanation:

Using the #color(blue)"law of exponents"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(a^m/a^n=a^(m-n)=1/(a^(n-m)))color(white)(2/2)|)))#

#rArr(14x^2y)/(-7x^3y^4)#

Separating the terms and expressing as a product.

#=14/(-7)xx(x^2)/(x^3)xxy^1/y^4#

#=-2xx1/x^((3-2))xx1/y^((4-1))#

#=-2/(xy^3)#