Algebra Examples

$f (0) = {(\frac{1}{2})}^{x}$

Step 1

Replace the variable $x$ with $0$ in the expression.

$f (0) = {(\frac{1}{2})}^{0}$

Step 2

Simplify the result.

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Step 2.1

Apply the product rule to $\frac{1}{2}$ .

$f (0) = \frac{1^{0}}{2^{0}}$

Step 2.2

Anything raised to $0$ is $1$ .

$f (0) = \frac{1}{2^{0}}$

Step 2.3

Anything raised to $0$ is $1$ .

$f (0) = \frac{1}{1}$

Step 2.4

Divide $1$ by $1$ .

$f (0) = 1$

Step 2.5

The final answer is $1$ .

$1$

Step 3