Question

How do you multiply `(- 7a ^ { 3} b ^ { 6} ) ( - 8a ^ { 6} b ^ { 9} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(-7 * -8)(a^3 * a^6)(b^6 * b^9) =>`

`56(a^3 * a^6)(b^6 * b^9)`

Now, use this rule of exponents to multiply the `a` and `b` terms:

`56(a^color(red)(3) * a^color(blue)(6))(b^color(red)(6) * b^color(blue)(9)) => 56a^(color(red)(3)+color(blue)(6))b^(color(red)(6)+color(blue)(9)) =>`

`56a^9b^15`