Evaluate f(x)=(1/4)^-2

$f (x) = {(\frac{1}{4})}^{- 2}$

Step 1

Simplify ${(\frac{1}{4})}^{- 2}$ .

Change the sign of the exponent by rewriting the base as its reciprocal.

$f (x) = 4^{2}$

Raise $4$ to the power of $2$ .

$f (x) = 16$

Step 2

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

$0 = 16 - f (x)$

Step 3

Rewrite the equation as $16 - f (x) = 0$ .

$16 - f (x) = 0$