Algebra Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

Divide $1$ by $0.125$ .

$f (- 3) = 8$

Step 2.4

The final answer is $8$ .

$8$

Step 3