Evaluate the Function f(x)=0.5^x for x=-3

$f (x) = {0.5}^{x}$ for $x = - 3$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

$f (- 3) = {0.5}^{- 3}$

Step 2

Simplify the result.

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

$f (- 3) = \frac{1}{{0.5}^{3}}$

Raise $0.5$ to the power of $3$ .

$f (- 3) = \frac{1}{0.125}$

Divide $1$ by $0.125$ .

$f (- 3) = 8$

The final answer is $8$ .

$8$

Step 3