Evaluate f(x)=5^(2(-1))

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

Step 1

Simplify $5^{2 (- 1)}$ .

Multiply $2$ by $- 1$ .

$f (x) = 5^{- 2}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

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

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