Question

How do you simplify `(x^3)(4x^5)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`4(x^3x^5)`

Now, use this rule of exponents to complete the simplification:

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

`4(x^color(red)(3)x^color(blue)(5)) => 4x^(color(red)(3) + color(blue)(5)) => 4x^8`