Algebra Examples

$f (- 3) = 2^{- 3} + 1$

Step 1

Simplify each term.

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Step 1.1

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

$f (- 3) = \frac{1}{2^{3}} + 1$

Step 1.2

Raise $2$ to the power of $3$ .

$f (- 3) = \frac{1}{8} + 1$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$f (- 3) = \frac{1}{8} + \frac{8}{8}$

Step 2.2

Combine the numerators over the common denominator.

$f (- 3) = \frac{1 + 8}{8}$

Step 2.3

Add $1$ and $8$ .

$f (- 3) = \frac{9}{8}$