Question

How do you multiply `(x ) ( 9x ^ { 6} ) ( 8x ^ { 5} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(9 * 8)(x * x^6 * x^5) => 72(x * x^6 * x^5)`

Now, use these two rules of exponents to multiply the `x` terms:

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

`72(x * x^6 * x^5) => 72(x^color(red)(1) * x^color(blue)(6) * x^color(green)(5)) => 72x^(color(red)(1)+color(blue)(6)+color(green)(5)) =>`

`72x^12`