Question

How do you multiply `2a ^ { 2} \cdot 2a ^ { 4} \cdot 3a ^ { 4}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`(2 * 2 * 3) * (a^2 * a^ 4 * a^4) => 12(a^2 * a^ 4 * a^4)`

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

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

`12(a^color(red)(2) * a^color(blue)(4) * a^color(green)(4)) => 12a^(color(red)(2) + color(blue)(4) + color(green)(4)) =>`

`12a^10`