Algebra Examples

$f (x) = {(\frac{1}{5})}^{2}$

Step 1

Simplify ${(\frac{1}{5})}^{2}$ .

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Step 1.1

Apply the product rule to $\frac{1}{5}$ .

$f (x) = \frac{1^{2}}{5^{2}}$

Step 1.2

One to any power is one.

$f (x) = \frac{1}{5^{2}}$

Step 1.3

Raise $5$ to the power of $2$ .

$f (x) = \frac{1}{25}$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = \frac{1}{25} - f (x)$

Step 3

Rewrite the equation as $\frac{1}{25} - f (x) = 0$ .

$\frac{1}{25} - f (x) = 0$