How do you simplify #(-7c^3d^4)(4cd^3)#?

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Answer 1 · 2017-02-09T14:01:47

See the entire simplification process below:

First, rewrite the equation to group like terms:

#(-7 xx 4)(c^3 xx c)(d^4 xx d^3)#

Use the two rules of exponents to complete the simplification:

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

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

#(-7 xx 4)(c^3 xx c^color(blue)(1))(d^4 xx d^3) ->#

#-28c^(3 + 1)d^(4 + 3) ->#

#-28c^4d^7#