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

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Answer 1 · 2017-04-03T13:58:27

See the entire solution process below:

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

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

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