Evaluate f(x)=(1/3)^0

$f (x) = {(\frac{1}{3})}^{0}$

Step 1

Simplify ${(\frac{1}{3})}^{0}$ .

Apply the product rule to $\frac{1}{3}$ .

$f (x) = \frac{1^{0}}{3^{0}}$

Anything raised to $0$ is $1$ .

$f (x) = \frac{1}{3^{0}}$

Anything raised to $0$ is $1$ .

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

Divide $1$ by $1$ .

$f (x) = 1$

$f (x) = 1$

Step 2

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

$0 = 1 - f (x)$

Step 3

Rewrite the equation as $1 - f (x) = 0$ .

$1 - f (x) = 0$

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