How do you find the product #(10x)(4x^7)#?

1 Answer
smendyka
Apr 3, 2017

See the entire solution process below:

Explanation:

First, rewrite this expression as:

#(10 * 4)(x * x^7) = 40(x * x^7)#

Now, use these two rules for exponents to complete the multiplication:

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

#40(x * x^7) = 40(x^color(red)(1) * x^color(blue)(7)) = 40x^(color(red)(1) + color(blue)(7)) = 40x^8#

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