How do you simplify $e^{x} \cdot 5 e^{x + 3}$ $e^x*5e^(x+3)$ ?

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Answer 1 · 2016-07-11T13:16:25

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

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

$a^{b} \cdot a^{c} = a^{b + c}$ $a^b*a^c=a^(b+c)$

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