Simplify e^x*5e^(x+3)

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

Step 1

Rewrite using the commutative property of multiplication.

$5 e^{x} e^{x + 3}$

Step 2

Multiply $e^{x}$ by $e^{x + 3}$ by adding the exponents.

Move $e^{x + 3}$ .

$5 (e^{x + 3} e^{x})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5 e^{x + 3 + x}$

Add $x$ and $x$ .

$5 e^{2 x + 3}$