How do you multiply #(- 2x ^ { 2} y ^ { 3} ) ( - 5x ^ { 4} y ^ { 3} )#?

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Answer 1 · 2017-05-31T18:13:38

See a solution process below:

First, rewrite this expression as:

#(-2 * -5)(x^2 xx x^4)(y^3 xx y^3) =>#

#10(x^2 xx x^4)(y^3 xx y^3)#

Now, use this rule of exponents to multiply the #x# terms and the #y# terms:

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

#10(x^color(red)(2) xx x^color(blue)(4))(y^color(red)(3) xx y^color(blue)(3)) =>#

#10(x^(color(red)(2)+color(blue)(4)))(y^(color(red)(3)+y^color(blue)(3))) =>#

#10(x^6)(y^6) =>#

#10x^6y^6#