Question

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

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`(4 * 4)(x^3x^3)(y^2y^2) = 16(x^3x^3)(y^2y^2)`

Now, use this rule of exponents to multiply the `x` and `y` terms:

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

`16(x^color(red)(3) xx x^color(blue)(3))(y^color(red)(2) xx y^color(blue)(2)) = 16x^(color(red)(3) + color(blue)(3))y^(color(red)(2) + color(blue)(2)) = 16x^6y^4`