What is the product of #(- 3x y ^ { 2} ) ( 5x ^ { 2} y ^ { 3} ) #?

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Answer 1 · 2017-06-02T20:56:55

See a solution process below:

First, rewrite this expression as:

#(-3 * 5)(x * x^2)(y^2 * y^3) =>#

#-15(x * x^2)(y^2 * y^3)#

Next, use these rules for exponents to multiply the #x# and #y# terms:

#a = a^color(red)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#-15(x * x^2)(y^2 * y^3) => -15(x^color(red)(1) xx x^color(blue)(2))(y^color(red)(2) xx y^color(blue)(3)) =>#

#-15x^(color(red)(1)+color(blue)(2))y^(color(red)(2)+color(blue)(3)) =>#

#-15x^3y^5#