Algebra Examples

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

Step 1

Replace the variable $x$ with $- 1$ in the expression.

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

Step 2

Simplify the result.

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Step 2.1

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

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

Step 2.2

Combine $3$ and $\frac{1}{2}$ .

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

Step 2.3

The final answer is $\frac{3}{2}$ .

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

Step 4