Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

$f (x) = 4$

Step 2

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

$0 = 4 - f (x)$

Step 3

Rewrite the equation as $4 - f (x) = 0$ .

$4 - f (x) = 0$