Precalculus Examples

$\frac{3^{x}}{3^{1 - x}}$

Step 1

Cancel the common factor of $3^{x}$ and $3^{1 - x}$ .

Tap for more steps...

Step 1.1

Factor $3^{1 - x}$ out of $3^{x}$ .

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

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Multiply by $1$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

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

$3^{x - (1 - x)}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 1$ by $1$ .

$3^{x - 1 - - x}$

Step 2.3

Multiply $- - x$ .

Tap for more steps...

Step 2.3.1

Multiply $- 1$ by $- 1$ .

$3^{x - 1 + 1 x}$

Step 2.3.2

Multiply $x$ by $1$ .

$3^{x - 1 + x}$

Step 3

Add $x$ and $x$ .

$3^{2 x - 1}$