# How do you simplify 25^ { n } - 5^ { n + 1}?

Sep 3, 2017

${5}^{n} \left({5}^{n} - 5\right)$

#### Explanation:

We have: ${25}^{n} - {5}^{n + 1}$

Let's express $25$ in terms of $5$:

$= {\left({5}^{2}\right)}^{n} - {5}^{n + 1}$

Using the laws of exponents:

$= {\left({5}^{n}\right)}^{2} - 5 \cdot {5}^{n}$

$= {5}^{n} \left({5}^{n} - 5\right)$