# How do you simplify e^x*5e^(x+3)?

Jul 11, 2016

${e}^{x} \cdot 5 {e}^{x + 3} = 5 {e}^{2 x + 3}$

#### Explanation:

If you multiply powers with equal base you have to add their exponents:

## ${a}^{b} \cdot {a}^{c} = {a}^{b + c}$

So after putting number $5$ in front you get the result: