# How do you simplify 4v^3*vu^2 and write it using only positive exponents?

##### 1 Answer
Jun 7, 2017

$4 {u}^{2} {v}^{4}$

#### Explanation:

Remember that ${x}^{a} \cdot {x}^{b} = {x}^{a + b}$ (note the base, $x$, must be the same).

Therefore,
$4 {v}^{3} \cdot v {u}^{2}$
$= 4 {v}^{3} \cdot {v}^{1} \cdot {u}^{2}$
$= 4 {v}^{3 + 1} \cdot {u}^{2}$
$= 4 {v}^{4} \cdot {u}^{2}$