Algebra Examples

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

Step 1

Rewrite the equation as $a^{x} = {(\frac{1}{3})}^{- 9 x}$ .

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

Step 2

Simplify ${(\frac{1}{3})}^{- 9 x}$ .

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Step 2.1

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

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

Step 2.2

One to any power is one.

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