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

Question

2165 views around the world

You can reuse this answer
Creative Commons License

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:

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

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

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

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

$-28c^4d^7$

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