How do you multiply #(- 5x y ) ( - 2x y ^ { 6} )#?

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Answer 1 · 2017-07-19T14:29:45

See a solution process below:

First, rewrite the expression as:

#(-5 * -2)(x * x)(y * y^6) => 10(x * x)(y * y^6)#

Next, use this rule of exponents to rewrite the #x# terms and the one #y# term:

#a = a^color(red)(1)#

#10(x^color(red)(1) * x^color(red)(1))(y^color(red)(1) * y^6)#

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

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

#10(x^color(red)(1) * x^color(blue)(1))(y^color(red)(1) * y^color(blue)(6)) => 10x^(color(red)(1)+color(blue)(1))y^(color(red)(1)+color(blue)(6)) =>#

#10x^2y^7#