Question

How do you multiply `2w ^ { 5} \cdot 4u ^ { 2} w ^ { 4} \cdot 2u`?

Answer 1

`2w^5*4u^2w^4*2u=16w^9u^3`

Explanation:

Given: `2w^5*4u^2w^4*2u`

To multiply the factors of this expression, we need to multiply integers and add exponents of like variables:

`2*4*2=16`

`w^5*w^4=w^(5+4)=w^9`

`u^2*u=u^(2+1)=u^3`

Altogether: `2w^5*4u^2w^4*2u=16w^9u^3`