Trigonometry Examples

${(\frac{1}{3})}^{- x} = {(\frac{1}{9})}^{x + 1}$

Step 1

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

Tap for more steps...

Step 1.1

Apply the product rule to $\frac{1}{3}$ .

$\frac{1^{- x}}{3^{- x}} = {(\frac{1}{9})}^{x + 1}$

Step 1.2

One to any power is one.

$\frac{1}{3^{- x}} = {(\frac{1}{9})}^{x + 1}$

Step 2

Simplify ${(\frac{1}{9})}^{x + 1}$ .

Tap for more steps...

Step 2.1

Apply the product rule to $\frac{1}{9}$ .

$\frac{1}{3^{- x}} = \frac{1^{x + 1}}{9^{x + 1}}$

Step 2.2

One to any power is one.

$\frac{1}{3^{- x}} = \frac{1}{9^{x + 1}}$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = - \frac{2}{3}$

Step 4