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

Apr 13, 2017

$2 {w}^{5} \cdot 4 {u}^{2} {w}^{4} \cdot 2 u = 16 {w}^{9} {u}^{3}$

#### Explanation:

Given: $2 {w}^{5} \cdot 4 {u}^{2} {w}^{4} \cdot 2 u$

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

$2 \cdot 4 \cdot 2 = 16$

${w}^{5} \cdot {w}^{4} = {w}^{5 + 4} = {w}^{9}$

${u}^{2} \cdot u = {u}^{2 + 1} = {u}^{3}$

Altogether: $2 {w}^{5} \cdot 4 {u}^{2} {w}^{4} \cdot 2 u = 16 {w}^{9} {u}^{3}$