Evaluate f(x)=3^-4

$f (x) = 3^{- 4}$

Step 1

Simplify $3^{- 4}$ .

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

$f (x) = \frac{1}{3^{4}}$

Raise $3$ to the power of $4$ .

$f (x) = \frac{1}{81}$

Step 2

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

$0 = \frac{1}{81} - f (x)$

Step 3

Rewrite the equation as $\frac{1}{81} - f (x) = 0$ .

$\frac{1}{81} - f (x) = 0$