Algebra Examples

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

Step 1

Simplify ${0.5}^{- 3}$ .

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Step 1.1

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

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

Step 1.2

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

$f (x) = \frac{1}{0.125}$

Step 1.3

Divide $1$ by $0.125$ .

$f (x) = 8$

Step 2

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

$0 = 8 - f (x)$

Step 3

Rewrite the equation as $8 - f (x) = 0$ .

$8 - f (x) = 0$