Question

How do you multiply `(2a ^ { 4} b ^ { 3} ) ( 3a b ^ { 2} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`(2 * 3)(a^4a)(b^3b^2) => 6(a^4a)(b^3b^2)`

Now, use these 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))`

`6(a^4a)(b^3b^2) => 6(a^color(red)(4)a^color(blue)(1))(b^color(red)(3)b^color(blue)(2)) => 6a^(color(red)(4) + color(blue)(1))b^(color(red)(3) + color(blue)(2)) =>`

`6a^5b^5`