Question

How do you multiply `(3x y ^ { 3} ) ( 4x ^ { 3} )`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`(3 * 4)(x * x^3)y^3 = 12(x * x^3)y^3`

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))`

`12(x^color(red)(1) * x^color(blue)(3))y^3 = 12x^(color(red)(1) + color(blue)(3))y^3 = 12x^4y^3`