Simplify (e^3)/(e^(x+3))

$\frac{e^{3}}{e^{x + 3}}$

Cancel the common factor of $e^{3}$ and $e^{x + 3}$ .

Factor $e^{x + 3}$ out of $e^{3}$ .

$\frac{e^{x + 3} e^{3 - (x + 3)}}{e^{x + 3}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{e^{x + 3} e^{3 - (x + 3)}}{e^{x + 3} \cdot 1}$

Cancel the common factor.

$\frac{e^{x + 3} e^{3 - (x + 3)}}{e^{x + 3} \cdot 1}$

Rewrite the expression.

$\frac{e^{3 - (x + 3)}}{1}$

Divide $e^{3 - (x + 3)}$ by $1$ .

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

Simplify each term.

Apply the distributive property.

$e^{3 - x - 1 \cdot 3}$

Multiply $- 1$ by $3$ .

$e^{3 - x - 3}$

Combine the opposite terms in $3 - x - 3$ .

Subtract $3$ from $3$ .

$e^{- x + 0}$

Add $- x$ and $0$ .

$e^{- x}$