Algebra Examples

${(\frac{1}{7})}^{x} = A^{- 9 x}$

Step 1

Rewrite the equation as $A^{- 9 x} = {(\frac{1}{7})}^{x}$ .

$A^{- 9 x} = {(\frac{1}{7})}^{x}$

Step 2

Simplify ${(\frac{1}{7})}^{x}$ .

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Step 2.1

Apply the product rule to $\frac{1}{7}$ .

$A^{- 9 x} = \frac{1^{x}}{7^{x}}$

Step 2.2

One to any power is one.

$A^{- 9 x} = \frac{1}{7^{x}}$