Question

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

Answer 1

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`