Evaluate the Function f(1)=2*1/(2^(3t))

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

Step 1

Replace the variable $t$ with $1$ in the expression.

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

Step 2

Simplify the result.

Simplify the denominator.

Multiply $3$ by $1$ .

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

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

$f (1) = 2 \cdot \frac{1}{8}$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$f (1) = 2 \cdot \frac{1}{2 (4)}$

Cancel the common factor.

$f (1) = 2 \cdot \frac{1}{2 \cdot 4}$

Rewrite the expression.

$f (1) = \frac{1}{4}$

The final answer is $\frac{1}{4}$ .

$\frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

Step 4