# How do you simplify 3p^4*p^2?

Jun 27, 2018

$3 {p}^{6}$

#### Explanation:

When we multiply exponents with the same base, we add the exponents. This allows us to rewrite this as

$3 {p}^{4 + 2}$

which simplifies to

$3 {p}^{6}$

$3 \textcolor{b l u e}{{p}^{4}} \cdot \textcolor{p u r p \le}{{p}^{2}}$
$3 \cdot \textcolor{b l u e}{p \cdot p \cdot p \cdot p} \cdot \textcolor{p u r p \le}{p \cdot p}$
In this expression, we are multiplying $p$ $6$ times. This is our exponent on $p$. Also, be mindful of the $3$ out front.