Question

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

Answer 1

`e^x*5e^(x+3)=5e^(2x+3)`

Explanation:

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

`a^b*a^c=a^(b+c)`

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

`e^x*5e^(x+3)= 5*e^x*e^(x+3)`

`=5e^(x+x+3)=5e^(2x+3)`