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

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Answer 1 · 2016-11-20T06:11:51

#((2)/(x^2y^3))^2=(4)/(x^4y^6)#

Simplify #((2)/(x^2y^3))^2#.

Apply the division distributive property #(a/b)^m=(a^m/b^m)#

#(2^2)/(x^2y^3)^2#

Simplify the numerator.

#4/(x^2y^3)^2#

Apply the multiplication distributive property. #(ab)^m=a^mb^m#

#(4)/((x^2)^2(y^3)^2)#

Apply power rule #(a^m)^n=a^(m*n)#.

#4/((x^(2*2))(y^(3*2))#

Simplify.

#(4)/(x^4y^6)#