Question

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

Answer 1

`5^(n) (5^(n) - 5)`

Explanation:

We have: `25^(n) - 5^(n + 1)`

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

`= (5^(2))^(n) - 5^(n + 1)`

Using the laws of exponents:

`= (5^(n))^(2) - 5 cdot 5^(n)`

`= 5^(n) (5^(n) - 5)`