Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 1$ by $3$ .

$e^{3 - x - 3}$

Step 3

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

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Step 3.1

Subtract $3$ from $3$ .

$e^{- x + 0}$

Step 3.2

Add $- x$ and $0$ .

$e^{- x}$