How do you simplify #(\frac { 2x y ^ { 3} } { x ^ { - 5} y ^ { - 2} } ) ^ { - 2}#?

1 Answer
Anjali G
Apr 17, 2017

#(frac{2xy^3}{x^(-5)y^(-2)})^(-2)#

First simplify what's inside the parentheses using exponent rules , then distribute the outermost exponent to each term within:

#=(2x^((1--5))y^((3--2)))^(-2)#

#=(2x^6y^5)^(-2)#

#=2^(-2)*x^(-12)*y^(-10)#

#=frac{1}{4x^12y^10}#

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