Algebra Examples

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

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.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

Multiply $3$ by $1$ .

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

Step 2.1.2

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

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

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

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $8$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

Step 2.3

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

$\frac{1}{4}$

$\frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$