Evaluate the Function f(x)=3^x for x=-5

$f (x) = 3^{x}$ for $x = - 5$

Step 1

Replace the variable $x$ with $- 5$ in the expression.

$f (- 5) = 3^{- 5}$

Step 2

Simplify the result.

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

$f (- 5) = \frac{1}{3^{5}}$

Raise $3$ to the power of $5$ .

$f (- 5) = \frac{1}{243}$

The final answer is $\frac{1}{243}$ .

$\frac{1}{243}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{243}$

Decimal Form:

$0.00411522 \dots$

Step 4